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Finding the Fourth Proportional to 637.86, 880.11 and 417.13

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Solution

The fourth proportional to 637.86, 880.11 and 417.13 is: 575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.86 : 880.11 = 417.13 : x
  2. Step 2: Convert to fraction form
    637.86/880.11 = 417.13/x
  3. Step 3: Cross multiply
    637.86x = 880.11 × 417.13
  4. Step 4: Simplify right side
    637.86x = 367,120.28
  5. Step 5: Solve for x
    x = 367,120.28/637.86
  6. Step 6: Final answer
    x = 575.55

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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.