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Finding the Fourth Proportional to 638.70, 880.83 and 473.32

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Solution

The fourth proportional to 638.70, 880.83 and 473.32 is: 652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.70 : 880.83 = 473.32 : x
  2. Step 2: Convert to fraction form
    638.70/880.83 = 473.32/x
  3. Step 3: Cross multiply
    638.70x = 880.83 × 473.32
  4. Step 4: Simplify right side
    638.70x = 416,914.46
  5. Step 5: Solve for x
    x = 416,914.46/638.70
  6. Step 6: Final answer
    x = 652.75

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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.