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Finding the Fourth Proportional to 587.20, 879.84 and 464.80

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Solution

The fourth proportional to 587.20, 879.84 and 464.80 is: 696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.20 : 879.84 = 464.80 : x
  2. Step 2: Convert to fraction form
    587.20/879.84 = 464.80/x
  3. Step 3: Cross multiply
    587.20x = 879.84 × 464.80
  4. Step 4: Simplify right side
    587.20x = 408,949.63
  5. Step 5: Solve for x
    x = 408,949.63/587.20
  6. Step 6: Final answer
    x = 696.44

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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.