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Finding the Fourth Proportional to 587.92, 811.33 and 322.36

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Solution

The fourth proportional to 587.92, 811.33 and 322.36 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 811.33 = 322.36 : x
  2. Step 2: Convert to fraction form
    587.92/811.33 = 322.36/x
  3. Step 3: Cross multiply
    587.92x = 811.33 × 322.36
  4. Step 4: Simplify right side
    587.92x = 261,538.73
  5. Step 5: Solve for x
    x = 261,538.73/587.92
  6. Step 6: Final answer
    x = 444.85

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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.