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Finding the Fourth Proportional to 698.24, 1,047.36 and 308.15

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Solution

The fourth proportional to 698.24, 1,047.36 and 308.15 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 1,047.36 = 308.15 : x
  2. Step 2: Convert to fraction form
    698.24/1,047.36 = 308.15/x
  3. Step 3: Cross multiply
    698.24x = 1,047.36 × 308.15
  4. Step 4: Simplify right side
    698.24x = 322,743.98
  5. Step 5: Solve for x
    x = 322,743.98/698.24
  6. Step 6: Final answer
    x = 462.23

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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.