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Finding the Fourth Proportional to 542.59, 749.11 and 356.35

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Solution

The fourth proportional to 542.59, 749.11 and 356.35 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.59 : 749.11 = 356.35 : x
  2. Step 2: Convert to fraction form
    542.59/749.11 = 356.35/x
  3. Step 3: Cross multiply
    542.59x = 749.11 × 356.35
  4. Step 4: Simplify right side
    542.59x = 266,945.35
  5. Step 5: Solve for x
    x = 266,945.35/542.59
  6. Step 6: Final answer
    x = 491.98

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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.