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Finding the Fourth Proportional to 672.57, 928.67 and 542.16

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Solution

The fourth proportional to 672.57, 928.67 and 542.16 is: 748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.57 : 928.67 = 542.16 : x
  2. Step 2: Convert to fraction form
    672.57/928.67 = 542.16/x
  3. Step 3: Cross multiply
    672.57x = 928.67 × 542.16
  4. Step 4: Simplify right side
    672.57x = 503,485.02
  5. Step 5: Solve for x
    x = 503,485.02/672.57
  6. Step 6: Final answer
    x = 748.60

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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.