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Finding the Fourth Proportional to 289.46, 434.24 and 97.09

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Solution

The fourth proportional to 289.46, 434.24 and 97.09 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.46 : 434.24 = 97.09 : x
  2. Step 2: Convert to fraction form
    289.46/434.24 = 97.09/x
  3. Step 3: Cross multiply
    289.46x = 434.24 × 97.09
  4. Step 4: Simplify right side
    289.46x = 42,160.36
  5. Step 5: Solve for x
    x = 42,160.36/289.46
  6. Step 6: Final answer
    x = 145.65

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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.