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Finding the Fourth Proportional to 288.72, 432.78 and 115.31

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Solution

The fourth proportional to 288.72, 432.78 and 115.31 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 432.78 = 115.31 : x
  2. Step 2: Convert to fraction form
    288.72/432.78 = 115.31/x
  3. Step 3: Cross multiply
    288.72x = 432.78 × 115.31
  4. Step 4: Simplify right side
    288.72x = 49,903.86
  5. Step 5: Solve for x
    x = 49,903.86/288.72
  6. Step 6: Final answer
    x = 172.85

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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.