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Finding the Fourth Proportional to 638.24, 880.66 and 358.40

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Solution

The fourth proportional to 638.24, 880.66 and 358.40 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 880.66 = 358.40 : x
  2. Step 2: Convert to fraction form
    638.24/880.66 = 358.40/x
  3. Step 3: Cross multiply
    638.24x = 880.66 × 358.40
  4. Step 4: Simplify right side
    638.24x = 315,628.54
  5. Step 5: Solve for x
    x = 315,628.54/638.24
  6. Step 6: Final answer
    x = 494.53

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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.