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Finding the Fourth Proportional to 438.89, 659.41 and 410.20

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Solution

The fourth proportional to 438.89, 659.41 and 410.20 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.89 : 659.41 = 410.20 : x
  2. Step 2: Convert to fraction form
    438.89/659.41 = 410.20/x
  3. Step 3: Cross multiply
    438.89x = 659.41 × 410.20
  4. Step 4: Simplify right side
    438.89x = 270,487.31
  5. Step 5: Solve for x
    x = 270,487.31/438.89
  6. Step 6: Final answer
    x = 616.31

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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.