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Finding the Fourth Proportional to 614.52, 922.37 and 451.71

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Solution

The fourth proportional to 614.52, 922.37 and 451.71 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 922.37 = 451.71 : x
  2. Step 2: Convert to fraction form
    614.52/922.37 = 451.71/x
  3. Step 3: Cross multiply
    614.52x = 922.37 × 451.71
  4. Step 4: Simplify right side
    614.52x = 416,641.49
  5. Step 5: Solve for x
    x = 416,641.49/614.52
  6. Step 6: Final answer
    x = 678.00

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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.