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Finding the Fourth Proportional to 612.06, 844.10 and 542.18

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Solution

The fourth proportional to 612.06, 844.10 and 542.18 is: 747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 844.10 = 542.18 : x
  2. Step 2: Convert to fraction form
    612.06/844.10 = 542.18/x
  3. Step 3: Cross multiply
    612.06x = 844.10 × 542.18
  4. Step 4: Simplify right side
    612.06x = 457,654.14
  5. Step 5: Solve for x
    x = 457,654.14/612.06
  6. Step 6: Final answer
    x = 747.73

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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.