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Finding the Fourth Proportional to 289.28, 433.38 and 225.02

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Solution

The fourth proportional to 289.28, 433.38 and 225.02 is: 337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 433.38 = 225.02 : x
  2. Step 2: Convert to fraction form
    289.28/433.38 = 225.02/x
  3. Step 3: Cross multiply
    289.28x = 433.38 × 225.02
  4. Step 4: Simplify right side
    289.28x = 97,519.17
  5. Step 5: Solve for x
    x = 97,519.17/289.28
  6. Step 6: Final answer
    x = 337.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.