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Finding the Fourth Proportional to 637.89, 880.34 and 358.11

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Solution

The fourth proportional to 637.89, 880.34 and 358.11 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 880.34 = 358.11 : x
  2. Step 2: Convert to fraction form
    637.89/880.34 = 358.11/x
  3. Step 3: Cross multiply
    637.89x = 880.34 × 358.11
  4. Step 4: Simplify right side
    637.89x = 315,259.45
  5. Step 5: Solve for x
    x = 315,259.45/637.89
  6. Step 6: Final answer
    x = 494.22

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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.