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Finding the Fourth Proportional to 289.15, 398.59 and 230.83

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Solution

The fourth proportional to 289.15, 398.59 and 230.83 is: 318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.15 : 398.59 = 230.83 : x
  2. Step 2: Convert to fraction form
    289.15/398.59 = 230.83/x
  3. Step 3: Cross multiply
    289.15x = 398.59 × 230.83
  4. Step 4: Simplify right side
    289.15x = 92,006.53
  5. Step 5: Solve for x
    x = 92,006.53/289.15
  6. Step 6: Final answer
    x = 318.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.