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Finding the Fourth Proportional to 698.30, 1,047.46 and 308.10

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Solution

The fourth proportional to 698.30, 1,047.46 and 308.10 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 1,047.46 = 308.10 : x
  2. Step 2: Convert to fraction form
    698.30/1,047.46 = 308.10/x
  3. Step 3: Cross multiply
    698.30x = 1,047.46 × 308.10
  4. Step 4: Simplify right side
    698.30x = 322,722.43
  5. Step 5: Solve for x
    x = 322,722.43/698.30
  6. Step 6: Final answer
    x = 462.15

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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.