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Finding the Fourth Proportional to 289.54, 432.41 and 231.85

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Solution

The fourth proportional to 289.54, 432.41 and 231.85 is: 346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 432.41 = 231.85 : x
  2. Step 2: Convert to fraction form
    289.54/432.41 = 231.85/x
  3. Step 3: Cross multiply
    289.54x = 432.41 × 231.85
  4. Step 4: Simplify right side
    289.54x = 100,252.10
  5. Step 5: Solve for x
    x = 100,252.10/289.54
  6. Step 6: Final answer
    x = 346.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.