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Finding the Fourth Proportional to 596.72, 824.04 and 454.64

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Solution

The fourth proportional to 596.72, 824.04 and 454.64 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 824.04 = 454.64 : x
  2. Step 2: Convert to fraction form
    596.72/824.04 = 454.64/x
  3. Step 3: Cross multiply
    596.72x = 824.04 × 454.64
  4. Step 4: Simplify right side
    596.72x = 374,641.55
  5. Step 5: Solve for x
    x = 374,641.55/596.72
  6. Step 6: Final answer
    x = 627.83

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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.