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Finding the Fourth Proportional to 637.62, 880.08 and 416.58

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Solution

The fourth proportional to 637.62, 880.08 and 416.58 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 880.08 = 416.58 : x
  2. Step 2: Convert to fraction form
    637.62/880.08 = 416.58/x
  3. Step 3: Cross multiply
    637.62x = 880.08 × 416.58
  4. Step 4: Simplify right side
    637.62x = 366,623.73
  5. Step 5: Solve for x
    x = 366,623.73/637.62
  6. Step 6: Final answer
    x = 574.99

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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.