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Finding the Fourth Proportional to 597.52, 824.88 and 431.92

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Solution

The fourth proportional to 597.52, 824.88 and 431.92 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 824.88 = 431.92 : x
  2. Step 2: Convert to fraction form
    597.52/824.88 = 431.92/x
  3. Step 3: Cross multiply
    597.52x = 824.88 × 431.92
  4. Step 4: Simplify right side
    597.52x = 356,282.17
  5. Step 5: Solve for x
    x = 356,282.17/597.52
  6. Step 6: Final answer
    x = 596.27

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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.