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Finding the Fourth Proportional to 432.61, 597.11 and 292.82

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Solution

The fourth proportional to 432.61, 597.11 and 292.82 is: 404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 597.11 = 292.82 : x
  2. Step 2: Convert to fraction form
    432.61/597.11 = 292.82/x
  3. Step 3: Cross multiply
    432.61x = 597.11 × 292.82
  4. Step 4: Simplify right side
    432.61x = 174,841.30
  5. Step 5: Solve for x
    x = 174,841.30/432.61
  6. Step 6: Final answer
    x = 404.16

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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.