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Finding the Fourth Proportional to 637.89, 880.41 and 416.46

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Solution

The fourth proportional to 637.89, 880.41 and 416.46 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 880.41 = 416.46 : x
  2. Step 2: Convert to fraction form
    637.89/880.41 = 416.46/x
  3. Step 3: Cross multiply
    637.89x = 880.41 × 416.46
  4. Step 4: Simplify right side
    637.89x = 366,655.55
  5. Step 5: Solve for x
    x = 366,655.55/637.89
  6. Step 6: Final answer
    x = 574.79

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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.