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Finding the Fourth Proportional to 542.52, 748.98 and 509.58

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Solution

The fourth proportional to 542.52, 748.98 and 509.58 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 748.98 = 509.58 : x
  2. Step 2: Convert to fraction form
    542.52/748.98 = 509.58/x
  3. Step 3: Cross multiply
    542.52x = 748.98 × 509.58
  4. Step 4: Simplify right side
    542.52x = 381,665.23
  5. Step 5: Solve for x
    x = 381,665.23/542.52
  6. Step 6: Final answer
    x = 703.50

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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.