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Finding the Fourth Proportional to 415.92, 574.20 and 278

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Solution

The fourth proportional to 415.92, 574.20 and 278 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 574.20 = 278 : x
  2. Step 2: Convert to fraction form
    415.92/574.20 = 278/x
  3. Step 3: Cross multiply
    415.92x = 574.20 × 278
  4. Step 4: Simplify right side
    415.92x = 159,627.60
  5. Step 5: Solve for x
    x = 159,627.60/415.92
  6. Step 6: Final answer
    x = 383.79

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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.