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Finding the Fourth Proportional to 630.18, 945.28 and 415.14

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Solution

The fourth proportional to 630.18, 945.28 and 415.14 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 945.28 = 415.14 : x
  2. Step 2: Convert to fraction form
    630.18/945.28 = 415.14/x
  3. Step 3: Cross multiply
    630.18x = 945.28 × 415.14
  4. Step 4: Simplify right side
    630.18x = 392,423.54
  5. Step 5: Solve for x
    x = 392,423.54/630.18
  6. Step 6: Final answer
    x = 622.72

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