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Finding the Fourth Proportional to 587.17, 809.75 and 376.97

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Solution

The fourth proportional to 587.17, 809.75 and 376.97 is: 519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 809.75 = 376.97 : x
  2. Step 2: Convert to fraction form
    587.17/809.75 = 376.97/x
  3. Step 3: Cross multiply
    587.17x = 809.75 × 376.97
  4. Step 4: Simplify right side
    587.17x = 305,250.79
  5. Step 5: Solve for x
    x = 305,250.79/587.17
  6. Step 6: Final answer
    x = 519.87

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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.