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Finding the Fourth Proportional to 614.54, 847.41 and 393.14

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Solution

The fourth proportional to 614.54, 847.41 and 393.14 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 847.41 = 393.14 : x
  2. Step 2: Convert to fraction form
    614.54/847.41 = 393.14/x
  3. Step 3: Cross multiply
    614.54x = 847.41 × 393.14
  4. Step 4: Simplify right side
    614.54x = 333,150.77
  5. Step 5: Solve for x
    x = 333,150.77/614.54
  6. Step 6: Final answer
    x = 542.11

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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.