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Finding the Fourth Proportional to 587.88, 811.27 and 339.20

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Solution

The fourth proportional to 587.88, 811.27 and 339.20 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.88 : 811.27 = 339.20 : x
  2. Step 2: Convert to fraction form
    587.88/811.27 = 339.20/x
  3. Step 3: Cross multiply
    587.88x = 811.27 × 339.20
  4. Step 4: Simplify right side
    587.88x = 275,178.73
  5. Step 5: Solve for x
    x = 275,178.73/587.88
  6. Step 6: Final answer
    x = 468.09

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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.