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Finding the Fourth Proportional to 587.44, 879.48 and 459.28

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Solution

The fourth proportional to 587.44, 879.48 and 459.28 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 879.48 = 459.28 : x
  2. Step 2: Convert to fraction form
    587.44/879.48 = 459.28/x
  3. Step 3: Cross multiply
    587.44x = 879.48 × 459.28
  4. Step 4: Simplify right side
    587.44x = 403,927.57
  5. Step 5: Solve for x
    x = 403,927.57/587.44
  6. Step 6: Final answer
    x = 687.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.