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Finding the Fourth Proportional to 289.62, 433.71 and 229.08

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Solution

The fourth proportional to 289.62, 433.71 and 229.08 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 433.71 = 229.08 : x
  2. Step 2: Convert to fraction form
    289.62/433.71 = 229.08/x
  3. Step 3: Cross multiply
    289.62x = 433.71 × 229.08
  4. Step 4: Simplify right side
    289.62x = 99,354.29
  5. Step 5: Solve for x
    x = 99,354.29/289.62
  6. Step 6: Final answer
    x = 343.05

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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.