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Finding the Fourth Proportional to 289.53, 433.64 and 224.08

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Solution

The fourth proportional to 289.53, 433.64 and 224.08 is: 335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 433.64 = 224.08 : x
  2. Step 2: Convert to fraction form
    289.53/433.64 = 224.08/x
  3. Step 3: Cross multiply
    289.53x = 433.64 × 224.08
  4. Step 4: Simplify right side
    289.53x = 97,170.05
  5. Step 5: Solve for x
    x = 97,170.05/289.53
  6. Step 6: Final answer
    x = 335.62

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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.