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Finding the Fourth Proportional to 630.54, 945.27 and 387.27

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Solution

The fourth proportional to 630.54, 945.27 and 387.27 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 945.27 = 387.27 : x
  2. Step 2: Convert to fraction form
    630.54/945.27 = 387.27/x
  3. Step 3: Cross multiply
    630.54x = 945.27 × 387.27
  4. Step 4: Simplify right side
    630.54x = 366,074.71
  5. Step 5: Solve for x
    x = 366,074.71/630.54
  6. Step 6: Final answer
    x = 580.57

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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.