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Finding the Fourth Proportional to 614.08, 921.25 and 289.27

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Solution

The fourth proportional to 614.08, 921.25 and 289.27 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.08 : 921.25 = 289.27 : x
  2. Step 2: Convert to fraction form
    614.08/921.25 = 289.27/x
  3. Step 3: Cross multiply
    614.08x = 921.25 × 289.27
  4. Step 4: Simplify right side
    614.08x = 266,489.99
  5. Step 5: Solve for x
    x = 266,489.99/614.08
  6. Step 6: Final answer
    x = 433.97

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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.