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Finding the Fourth Proportional to 542.98, 747.66 and 481.06

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Solution

The fourth proportional to 542.98, 747.66 and 481.06 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 747.66 = 481.06 : x
  2. Step 2: Convert to fraction form
    542.98/747.66 = 481.06/x
  3. Step 3: Cross multiply
    542.98x = 747.66 × 481.06
  4. Step 4: Simplify right side
    542.98x = 359,669.32
  5. Step 5: Solve for x
    x = 359,669.32/542.98
  6. Step 6: Final answer
    x = 662.40

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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.