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Finding the Fourth Proportional to 638.26, 880.41 and 405.70

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Solution

The fourth proportional to 638.26, 880.41 and 405.70 is: 559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.26 : 880.41 = 405.70 : x
  2. Step 2: Convert to fraction form
    638.26/880.41 = 405.70/x
  3. Step 3: Cross multiply
    638.26x = 880.41 × 405.70
  4. Step 4: Simplify right side
    638.26x = 357,182.34
  5. Step 5: Solve for x
    x = 357,182.34/638.26
  6. Step 6: Final answer
    x = 559.62

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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.