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Finding the Fourth Proportional to 474.66, 654.89 and 278.24

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Solution

The fourth proportional to 474.66, 654.89 and 278.24 is: 383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 654.89 = 278.24 : x
  2. Step 2: Convert to fraction form
    474.66/654.89 = 278.24/x
  3. Step 3: Cross multiply
    474.66x = 654.89 × 278.24
  4. Step 4: Simplify right side
    474.66x = 182,211.93
  5. Step 5: Solve for x
    x = 182,211.93/474.66
  6. Step 6: Final answer
    x = 383.88

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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.