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Finding the Fourth Proportional to 549.72, 758.46 and 432.92

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Solution

The fourth proportional to 549.72, 758.46 and 432.92 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 758.46 = 432.92 : x
  2. Step 2: Convert to fraction form
    549.72/758.46 = 432.92/x
  3. Step 3: Cross multiply
    549.72x = 758.46 × 432.92
  4. Step 4: Simplify right side
    549.72x = 328,352.50
  5. Step 5: Solve for x
    x = 328,352.50/549.72
  6. Step 6: Final answer
    x = 597.31

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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.