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Finding the Fourth Proportional to 614.61, 847.85 and 381.33

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Solution

The fourth proportional to 614.61, 847.85 and 381.33 is: 526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 847.85 = 381.33 : x
  2. Step 2: Convert to fraction form
    614.61/847.85 = 381.33/x
  3. Step 3: Cross multiply
    614.61x = 847.85 × 381.33
  4. Step 4: Simplify right side
    614.61x = 323,308.73
  5. Step 5: Solve for x
    x = 323,308.73/614.61
  6. Step 6: Final answer
    x = 526.04

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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.