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Finding the Fourth Proportional to 583.53, 805.26 and 362.60

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Solution

The fourth proportional to 583.53, 805.26 and 362.60 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.53 : 805.26 = 362.60 : x
  2. Step 2: Convert to fraction form
    583.53/805.26 = 362.60/x
  3. Step 3: Cross multiply
    583.53x = 805.26 × 362.60
  4. Step 4: Simplify right side
    583.53x = 291,987.28
  5. Step 5: Solve for x
    x = 291,987.28/583.53
  6. Step 6: Final answer
    x = 500.38

Related Problems

Find fourth proportional to 291.77, 402.63 and 181.30
Half scale
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Double scale
Find fourth proportional to 584.53, 806.64 and 363.60
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.