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Finding the Fourth Proportional to 288.32, 432.46 and 82.90

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Solution

The fourth proportional to 288.32, 432.46 and 82.90 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 432.46 = 82.90 : x
  2. Step 2: Convert to fraction form
    288.32/432.46 = 82.90/x
  3. Step 3: Cross multiply
    288.32x = 432.46 × 82.90
  4. Step 4: Simplify right side
    288.32x = 35,850.93
  5. Step 5: Solve for x
    x = 35,850.93/288.32
  6. Step 6: Final answer
    x = 124.34

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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.