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Finding the Fourth Proportional to 288.92, 433.65 and 207.38

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Solution

The fourth proportional to 288.92, 433.65 and 207.38 is: 311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.92 : 433.65 = 207.38 : x
  2. Step 2: Convert to fraction form
    288.92/433.65 = 207.38/x
  3. Step 3: Cross multiply
    288.92x = 433.65 × 207.38
  4. Step 4: Simplify right side
    288.92x = 89,930.34
  5. Step 5: Solve for x
    x = 89,930.34/288.92
  6. Step 6: Final answer
    x = 311.26

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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.