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Finding the Fourth Proportional to 542.28, 746.67 and 498.20

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Solution

The fourth proportional to 542.28, 746.67 and 498.20 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.28 : 746.67 = 498.20 : x
  2. Step 2: Convert to fraction form
    542.28/746.67 = 498.20/x
  3. Step 3: Cross multiply
    542.28x = 746.67 × 498.20
  4. Step 4: Simplify right side
    542.28x = 371,990.99
  5. Step 5: Solve for x
    x = 371,990.99/542.28
  6. Step 6: Final answer
    x = 685.98

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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.