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Finding the Fourth Proportional to 542.93, 748.89 and 356.49

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Solution

The fourth proportional to 542.93, 748.89 and 356.49 is: 491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 748.89 = 356.49 : x
  2. Step 2: Convert to fraction form
    542.93/748.89 = 356.49/x
  3. Step 3: Cross multiply
    542.93x = 748.89 × 356.49
  4. Step 4: Simplify right side
    542.93x = 266,971.80
  5. Step 5: Solve for x
    x = 266,971.80/542.93
  6. Step 6: Final answer
    x = 491.73

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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.