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Finding the Fourth Proportional to 474.46, 654.78 and 277.96

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Solution

The fourth proportional to 474.46, 654.78 and 277.96 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 654.78 = 277.96 : x
  2. Step 2: Convert to fraction form
    474.46/654.78 = 277.96/x
  3. Step 3: Cross multiply
    474.46x = 654.78 × 277.96
  4. Step 4: Simplify right side
    474.46x = 182,002.65
  5. Step 5: Solve for x
    x = 182,002.65/474.46
  6. Step 6: Final answer
    x = 383.60

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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.