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Finding the Fourth Proportional to 614.31, 847.70 and 348.76

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Solution

The fourth proportional to 614.31, 847.70 and 348.76 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.31 : 847.70 = 348.76 : x
  2. Step 2: Convert to fraction form
    614.31/847.70 = 348.76/x
  3. Step 3: Cross multiply
    614.31x = 847.70 × 348.76
  4. Step 4: Simplify right side
    614.31x = 295,639.61
  5. Step 5: Solve for x
    x = 295,639.61/614.31
  6. Step 6: Final answer
    x = 481.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.