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Finding the Fourth Proportional to 638.30, 880.17 and 417.17

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Solution

The fourth proportional to 638.30, 880.17 and 417.17 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.30 : 880.17 = 417.17 : x
  2. Step 2: Convert to fraction form
    638.30/880.17 = 417.17/x
  3. Step 3: Cross multiply
    638.30x = 880.17 × 417.17
  4. Step 4: Simplify right side
    638.30x = 367,176.12
  5. Step 5: Solve for x
    x = 367,176.12/638.30
  6. Step 6: Final answer
    x = 575.25

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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.