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Finding the Fourth Proportional to 289.61, 399.17 and 230.49

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Solution

The fourth proportional to 289.61, 399.17 and 230.49 is: 317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.61 : 399.17 = 230.49 : x
  2. Step 2: Convert to fraction form
    289.61/399.17 = 230.49/x
  3. Step 3: Cross multiply
    289.61x = 399.17 × 230.49
  4. Step 4: Simplify right side
    289.61x = 92,005.27
  5. Step 5: Solve for x
    x = 92,005.27/289.61
  6. Step 6: Final answer
    x = 317.69

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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.