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Finding the Fourth Proportional to 614.38, 921.51 and 249.07

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Solution

The fourth proportional to 614.38, 921.51 and 249.07 is: 373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 921.51 = 249.07 : x
  2. Step 2: Convert to fraction form
    614.38/921.51 = 249.07/x
  3. Step 3: Cross multiply
    614.38x = 921.51 × 249.07
  4. Step 4: Simplify right side
    614.38x = 229,515.89
  5. Step 5: Solve for x
    x = 229,515.89/614.38
  6. Step 6: Final answer
    x = 373.58

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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.