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Finding the Fourth Proportional to 637.84, 880.21 and 358.09

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Solution

The fourth proportional to 637.84, 880.21 and 358.09 is: 494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 880.21 = 358.09 : x
  2. Step 2: Convert to fraction form
    637.84/880.21 = 358.09/x
  3. Step 3: Cross multiply
    637.84x = 880.21 × 358.09
  4. Step 4: Simplify right side
    637.84x = 315,194.40
  5. Step 5: Solve for x
    x = 315,194.40/637.84
  6. Step 6: Final answer
    x = 494.16

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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.