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Finding the Fourth Proportional to 688.30, 951.06 and 542.10

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Solution

The fourth proportional to 688.30, 951.06 and 542.10 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.30 : 951.06 = 542.10 : x
  2. Step 2: Convert to fraction form
    688.30/951.06 = 542.10/x
  3. Step 3: Cross multiply
    688.30x = 951.06 × 542.10
  4. Step 4: Simplify right side
    688.30x = 515,569.63
  5. Step 5: Solve for x
    x = 515,569.63/688.30
  6. Step 6: Final answer
    x = 749.05

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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.