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Finding the Fourth Proportional to 630.08, 947.28 and 414.08

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Solution

The fourth proportional to 630.08, 947.28 and 414.08 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.08 : 947.28 = 414.08 : x
  2. Step 2: Convert to fraction form
    630.08/947.28 = 414.08/x
  3. Step 3: Cross multiply
    630.08x = 947.28 × 414.08
  4. Step 4: Simplify right side
    630.08x = 392,249.70
  5. Step 5: Solve for x
    x = 392,249.70/630.08
  6. Step 6: Final answer
    x = 622.54

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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.