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Finding the Fourth Proportional to 596.19, 822.80 and 360.26

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Solution

The fourth proportional to 596.19, 822.80 and 360.26 is: 497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 822.80 = 360.26 : x
  2. Step 2: Convert to fraction form
    596.19/822.80 = 360.26/x
  3. Step 3: Cross multiply
    596.19x = 822.80 × 360.26
  4. Step 4: Simplify right side
    596.19x = 296,416.01
  5. Step 5: Solve for x
    x = 296,416.01/596.19
  6. Step 6: Final answer
    x = 497.18

Related Problems

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Half scale
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Double scale
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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.