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Finding the Fourth Proportional to 637.82, 880.19 and 358.06

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Solution

The fourth proportional to 637.82, 880.19 and 358.06 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 880.19 = 358.06 : x
  2. Step 2: Convert to fraction form
    637.82/880.19 = 358.06/x
  3. Step 3: Cross multiply
    637.82x = 880.19 × 358.06
  4. Step 4: Simplify right side
    637.82x = 315,158.63
  5. Step 5: Solve for x
    x = 315,158.63/637.82
  6. Step 6: Final answer
    x = 494.12

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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.