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Finding the Fourth Proportional to 542.03, 746.66 and 514.24

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Solution

The fourth proportional to 542.03, 746.66 and 514.24 is: 708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 746.66 = 514.24 : x
  2. Step 2: Convert to fraction form
    542.03/746.66 = 514.24/x
  3. Step 3: Cross multiply
    542.03x = 746.66 × 514.24
  4. Step 4: Simplify right side
    542.03x = 383,961.86
  5. Step 5: Solve for x
    x = 383,961.86/542.03
  6. Step 6: Final answer
    x = 708.37

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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.