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Finding the Fourth Proportional to 289.57, 434.34 and 73.14

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Solution

The fourth proportional to 289.57, 434.34 and 73.14 is: 109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 434.34 = 73.14 : x
  2. Step 2: Convert to fraction form
    289.57/434.34 = 73.14/x
  3. Step 3: Cross multiply
    289.57x = 434.34 × 73.14
  4. Step 4: Simplify right side
    289.57x = 31,765.46
  5. Step 5: Solve for x
    x = 31,765.46/289.57
  6. Step 6: Final answer
    x = 109.70

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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.