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Finding the Fourth Proportional to 637.83, 880.19 and 375.85

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Solution

The fourth proportional to 637.83, 880.19 and 375.85 is: 518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.83 : 880.19 = 375.85 : x
  2. Step 2: Convert to fraction form
    637.83/880.19 = 375.85/x
  3. Step 3: Cross multiply
    637.83x = 880.19 × 375.85
  4. Step 4: Simplify right side
    637.83x = 330,819.41
  5. Step 5: Solve for x
    x = 330,819.41/637.83
  6. Step 6: Final answer
    x = 518.66

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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.