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Finding the Fourth Proportional to 596.42, 824.29 and 524.38

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Solution

The fourth proportional to 596.42, 824.29 and 524.38 is: 724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.42 : 824.29 = 524.38 : x
  2. Step 2: Convert to fraction form
    596.42/824.29 = 524.38/x
  3. Step 3: Cross multiply
    596.42x = 824.29 × 524.38
  4. Step 4: Simplify right side
    596.42x = 432,241.19
  5. Step 5: Solve for x
    x = 432,241.19/596.42
  6. Step 6: Final answer
    x = 724.73

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Half scale
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Double scale
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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.