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Finding the Fourth Proportional to 474.58, 654.92 and 278.11

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Solution

The fourth proportional to 474.58, 654.92 and 278.11 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.58 : 654.92 = 278.11 : x
  2. Step 2: Convert to fraction form
    474.58/654.92 = 278.11/x
  3. Step 3: Cross multiply
    474.58x = 654.92 × 278.11
  4. Step 4: Simplify right side
    474.58x = 182,138.41
  5. Step 5: Solve for x
    x = 182,138.41/474.58
  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.