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Finding the Fourth Proportional to 542.30, 747.74 and 513.11

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Solution

The fourth proportional to 542.30, 747.74 and 513.11 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 747.74 = 513.11 : x
  2. Step 2: Convert to fraction form
    542.30/747.74 = 513.11/x
  3. Step 3: Cross multiply
    542.30x = 747.74 × 513.11
  4. Step 4: Simplify right side
    542.30x = 383,671.00
  5. Step 5: Solve for x
    x = 383,671.00/542.30
  6. Step 6: Final answer
    x = 707.49

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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.