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Finding the Fourth Proportional to 630.74, 944.28 and 469.14

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Solution

The fourth proportional to 630.74, 944.28 and 469.14 is: 702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.74 : 944.28 = 469.14 : x
  2. Step 2: Convert to fraction form
    630.74/944.28 = 469.14/x
  3. Step 3: Cross multiply
    630.74x = 944.28 × 469.14
  4. Step 4: Simplify right side
    630.74x = 442,999.52
  5. Step 5: Solve for x
    x = 442,999.52/630.74
  6. Step 6: Final answer
    x = 702.35

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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.