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Finding the Fourth Proportional to 542, 747.88 and 345.56

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Solution

The fourth proportional to 542, 747.88 and 345.56 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 747.88 = 345.56 : x
  2. Step 2: Convert to fraction form
    542/747.88 = 345.56/x
  3. Step 3: Cross multiply
    542x = 747.88 × 345.56
  4. Step 4: Simplify right side
    542x = 258,437.41
  5. Step 5: Solve for x
    x = 258,437.41/542
  6. Step 6: Final answer
    x = 476.82

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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.