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Finding the Fourth Proportional to 614.52, 924.87 and 461.25

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Solution

The fourth proportional to 614.52, 924.87 and 461.25 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 924.87 = 461.25 : x
  2. Step 2: Convert to fraction form
    614.52/924.87 = 461.25/x
  3. Step 3: Cross multiply
    614.52x = 924.87 × 461.25
  4. Step 4: Simplify right side
    614.52x = 426,596.29
  5. Step 5: Solve for x
    x = 426,596.29/614.52
  6. Step 6: Final answer
    x = 694.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.