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Finding the Fourth Proportional to 587.97, 811.17 and 378.11

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Solution

The fourth proportional to 587.97, 811.17 and 378.11 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.97 : 811.17 = 378.11 : x
  2. Step 2: Convert to fraction form
    587.97/811.17 = 378.11/x
  3. Step 3: Cross multiply
    587.97x = 811.17 × 378.11
  4. Step 4: Simplify right side
    587.97x = 306,711.49
  5. Step 5: Solve for x
    x = 306,711.49/587.97
  6. Step 6: Final answer
    x = 521.64

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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.