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Finding the Fourth Proportional to 639.36, 959.12 and 292.80

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Solution

The fourth proportional to 639.36, 959.12 and 292.80 is: 439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.36 : 959.12 = 292.80 : x
  2. Step 2: Convert to fraction form
    639.36/959.12 = 292.80/x
  3. Step 3: Cross multiply
    639.36x = 959.12 × 292.80
  4. Step 4: Simplify right side
    639.36x = 280,830.34
  5. Step 5: Solve for x
    x = 280,830.34/639.36
  6. Step 6: Final answer
    x = 439.24

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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.