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Finding the Fourth Proportional to 439.26, 658.75 and 410.50

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Solution

The fourth proportional to 439.26, 658.75 and 410.50 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.26 : 658.75 = 410.50 : x
  2. Step 2: Convert to fraction form
    439.26/658.75 = 410.50/x
  3. Step 3: Cross multiply
    439.26x = 658.75 × 410.50
  4. Step 4: Simplify right side
    439.26x = 270,416.88
  5. Step 5: Solve for x
    x = 270,416.88/439.26
  6. Step 6: Final answer
    x = 615.62

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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.