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Finding the Fourth Proportional to 596.25, 822.83 and 363.42

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Solution

The fourth proportional to 596.25, 822.83 and 363.42 is: 501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 822.83 = 363.42 : x
  2. Step 2: Convert to fraction form
    596.25/822.83 = 363.42/x
  3. Step 3: Cross multiply
    596.25x = 822.83 × 363.42
  4. Step 4: Simplify right side
    596.25x = 299,031.06
  5. Step 5: Solve for x
    x = 299,031.06/596.25
  6. Step 6: Final answer
    x = 501.52

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.25, 824.21 and 364.42
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.