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Finding the Fourth Proportional to 542.55, 747.06 and 409.95

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Solution

The fourth proportional to 542.55, 747.06 and 409.95 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.55 : 747.06 = 409.95 : x
  2. Step 2: Convert to fraction form
    542.55/747.06 = 409.95/x
  3. Step 3: Cross multiply
    542.55x = 747.06 × 409.95
  4. Step 4: Simplify right side
    542.55x = 306,257.25
  5. Step 5: Solve for x
    x = 306,257.25/542.55
  6. Step 6: Final answer
    x = 564.48

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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.