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Finding the Fourth Proportional to 630.69, 944.24 and 477.24

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Solution

The fourth proportional to 630.69, 944.24 and 477.24 is: 714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 944.24 = 477.24 : x
  2. Step 2: Convert to fraction form
    630.69/944.24 = 477.24/x
  3. Step 3: Cross multiply
    630.69x = 944.24 × 477.24
  4. Step 4: Simplify right side
    630.69x = 450,626.71
  5. Step 5: Solve for x
    x = 450,626.71/630.69
  6. Step 6: Final answer
    x = 714.50

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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.