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Finding the Fourth Proportional to 975.96, 1,462.68 and 398.16

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Solution

The fourth proportional to 975.96, 1,462.68 and 398.16 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,462.68 = 398.16 : x
  2. Step 2: Convert to fraction form
    975.96/1,462.68 = 398.16/x
  3. Step 3: Cross multiply
    975.96x = 1,462.68 × 398.16
  4. Step 4: Simplify right side
    975.96x = 582,380.67
  5. Step 5: Solve for x
    x = 582,380.67/975.96
  6. Step 6: Final answer
    x = 596.73

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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.