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Finding the Fourth Proportional to 587.97, 811.40 and 326

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Solution

The fourth proportional to 587.97, 811.40 and 326 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.97 : 811.40 = 326 : x
  2. Step 2: Convert to fraction form
    587.97/811.40 = 326/x
  3. Step 3: Cross multiply
    587.97x = 811.40 × 326
  4. Step 4: Simplify right side
    587.97x = 264,516.40
  5. Step 5: Solve for x
    x = 264,516.40/587.97
  6. Step 6: Final answer
    x = 449.88

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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.