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Finding the Fourth Proportional to 638.06, 880.25 and 472.66

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Solution

The fourth proportional to 638.06, 880.25 and 472.66 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.06 : 880.25 = 472.66 : x
  2. Step 2: Convert to fraction form
    638.06/880.25 = 472.66/x
  3. Step 3: Cross multiply
    638.06x = 880.25 × 472.66
  4. Step 4: Simplify right side
    638.06x = 416,058.97
  5. Step 5: Solve for x
    x = 416,058.97/638.06
  6. Step 6: Final answer
    x = 652.07

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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.