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Finding the Fourth Proportional to 637.79, 880.17 and 416.58

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Solution

The fourth proportional to 637.79, 880.17 and 416.58 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.79 : 880.17 = 416.58 : x
  2. Step 2: Convert to fraction form
    637.79/880.17 = 416.58/x
  3. Step 3: Cross multiply
    637.79x = 880.17 × 416.58
  4. Step 4: Simplify right side
    637.79x = 366,661.22
  5. Step 5: Solve for x
    x = 366,661.22/637.79
  6. Step 6: Final answer
    x = 574.90

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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.