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Finding the Fourth Proportional to 474.30, 654.42 and 277.74

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Solution

The fourth proportional to 474.30, 654.42 and 277.74 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 654.42 = 277.74 : x
  2. Step 2: Convert to fraction form
    474.30/654.42 = 277.74/x
  3. Step 3: Cross multiply
    474.30x = 654.42 × 277.74
  4. Step 4: Simplify right side
    474.30x = 181,758.61
  5. Step 5: Solve for x
    x = 181,758.61/474.30
  6. Step 6: Final answer
    x = 383.21

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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.