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Finding the Fourth Proportional to 587.87, 811.23 and 325.91

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Solution

The fourth proportional to 587.87, 811.23 and 325.91 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.87 : 811.23 = 325.91 : x
  2. Step 2: Convert to fraction form
    587.87/811.23 = 325.91/x
  3. Step 3: Cross multiply
    587.87x = 811.23 × 325.91
  4. Step 4: Simplify right side
    587.87x = 264,383.91
  5. Step 5: Solve for x
    x = 264,383.91/587.87
  6. Step 6: Final answer
    x = 449.73

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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.