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Finding the Fourth Proportional to 474.47, 654.82 and 278.15

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Solution

The fourth proportional to 474.47, 654.82 and 278.15 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.47 : 654.82 = 278.15 : x
  2. Step 2: Convert to fraction form
    474.47/654.82 = 278.15/x
  3. Step 3: Cross multiply
    474.47x = 654.82 × 278.15
  4. Step 4: Simplify right side
    474.47x = 182,133.52
  5. Step 5: Solve for x
    x = 182,133.52/474.47
  6. Step 6: Final answer
    x = 383.87

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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.