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Finding the Fourth Proportional to 542.06, 811.09 and 469.78

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Solution

The fourth proportional to 542.06, 811.09 and 469.78 is: 702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 811.09 = 469.78 : x
  2. Step 2: Convert to fraction form
    542.06/811.09 = 469.78/x
  3. Step 3: Cross multiply
    542.06x = 811.09 × 469.78
  4. Step 4: Simplify right side
    542.06x = 381,032.42
  5. Step 5: Solve for x
    x = 381,032.42/542.06
  6. Step 6: Final answer
    x = 702.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.