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Finding the Fourth Proportional to 474.52, 654.84 and 278.16

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Solution

The fourth proportional to 474.52, 654.84 and 278.16 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.52 : 654.84 = 278.16 : x
  2. Step 2: Convert to fraction form
    474.52/654.84 = 278.16/x
  3. Step 3: Cross multiply
    474.52x = 654.84 × 278.16
  4. Step 4: Simplify right side
    474.52x = 182,150.29
  5. Step 5: Solve for x
    x = 182,150.29/474.52
  6. Step 6: Final answer
    x = 383.86

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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.