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Finding the Fourth Proportional to 474.50, 654.82 and 278.13

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Solution

The fourth proportional to 474.50, 654.82 and 278.13 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 654.82 = 278.13 : x
  2. Step 2: Convert to fraction form
    474.50/654.82 = 278.13/x
  3. Step 3: Cross multiply
    474.50x = 654.82 × 278.13
  4. Step 4: Simplify right side
    474.50x = 182,126.85
  5. Step 5: Solve for x
    x = 182,126.85/474.50
  6. Step 6: Final answer
    x = 383.83

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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.