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Finding the Fourth Proportional to 614.54, 921.86 and 249.35

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Solution

The fourth proportional to 614.54, 921.86 and 249.35 is: 374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 921.86 = 249.35 : x
  2. Step 2: Convert to fraction form
    614.54/921.86 = 249.35/x
  3. Step 3: Cross multiply
    614.54x = 921.86 × 249.35
  4. Step 4: Simplify right side
    614.54x = 229,865.79
  5. Step 5: Solve for x
    x = 229,865.79/614.54
  6. Step 6: Final answer
    x = 374.05

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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.