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Finding the Fourth Proportional to 542.99, 749.12 and 356.27

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Solution

The fourth proportional to 542.99, 749.12 and 356.27 is: 491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 749.12 = 356.27 : x
  2. Step 2: Convert to fraction form
    542.99/749.12 = 356.27/x
  3. Step 3: Cross multiply
    542.99x = 749.12 × 356.27
  4. Step 4: Simplify right side
    542.99x = 266,883.46
  5. Step 5: Solve for x
    x = 266,883.46/542.99
  6. Step 6: Final answer
    x = 491.50

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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.