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Finding the Fourth Proportional to 712.88, 1,069.31 and 280.34

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Solution

The fourth proportional to 712.88, 1,069.31 and 280.34 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 1,069.31 = 280.34 : x
  2. Step 2: Convert to fraction form
    712.88/1,069.31 = 280.34/x
  3. Step 3: Cross multiply
    712.88x = 1,069.31 × 280.34
  4. Step 4: Simplify right side
    712.88x = 299,763.62
  5. Step 5: Solve for x
    x = 299,763.62/712.88
  6. Step 6: Final answer
    x = 420.50

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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.