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Finding the Fourth Proportional to 638.17, 880.45 and 417.25

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Solution

The fourth proportional to 638.17, 880.45 and 417.25 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.17 : 880.45 = 417.25 : x
  2. Step 2: Convert to fraction form
    638.17/880.45 = 417.25/x
  3. Step 3: Cross multiply
    638.17x = 880.45 × 417.25
  4. Step 4: Simplify right side
    638.17x = 367,367.76
  5. Step 5: Solve for x
    x = 367,367.76/638.17
  6. Step 6: Final answer
    x = 575.66

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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.