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Finding the Fourth Proportional to 614.25, 921.78 and 301.86

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Solution

The fourth proportional to 614.25, 921.78 and 301.86 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 921.78 = 301.86 : x
  2. Step 2: Convert to fraction form
    614.25/921.78 = 301.86/x
  3. Step 3: Cross multiply
    614.25x = 921.78 × 301.86
  4. Step 4: Simplify right side
    614.25x = 278,248.51
  5. Step 5: Solve for x
    x = 278,248.51/614.25
  6. Step 6: Final answer
    x = 452.99

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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.