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Finding the Fourth Proportional to 637.65, 880.14 and 416.63

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Solution

The fourth proportional to 637.65, 880.14 and 416.63 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.65 : 880.14 = 416.63 : x
  2. Step 2: Convert to fraction form
    637.65/880.14 = 416.63/x
  3. Step 3: Cross multiply
    637.65x = 880.14 × 416.63
  4. Step 4: Simplify right side
    637.65x = 366,692.73
  5. Step 5: Solve for x
    x = 366,692.73/637.65
  6. Step 6: Final answer
    x = 575.07

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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.