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Finding the Fourth Proportional to 289.42, 433.59 and 145.24

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Solution

The fourth proportional to 289.42, 433.59 and 145.24 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 433.59 = 145.24 : x
  2. Step 2: Convert to fraction form
    289.42/433.59 = 145.24/x
  3. Step 3: Cross multiply
    289.42x = 433.59 × 145.24
  4. Step 4: Simplify right side
    289.42x = 62,974.61
  5. Step 5: Solve for x
    x = 62,974.61/289.42
  6. Step 6: Final answer
    x = 217.59

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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.