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Finding the Fourth Proportional to 638.62, 880.86 and 402.34

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Solution

The fourth proportional to 638.62, 880.86 and 402.34 is: 554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.62 : 880.86 = 402.34 : x
  2. Step 2: Convert to fraction form
    638.62/880.86 = 402.34/x
  3. Step 3: Cross multiply
    638.62x = 880.86 × 402.34
  4. Step 4: Simplify right side
    638.62x = 354,405.21
  5. Step 5: Solve for x
    x = 354,405.21/638.62
  6. Step 6: Final answer
    x = 554.95

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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.