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Finding the Fourth Proportional to 305.49, 458.24 and 89.09

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Solution

The fourth proportional to 305.49, 458.24 and 89.09 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.49 : 458.24 = 89.09 : x
  2. Step 2: Convert to fraction form
    305.49/458.24 = 89.09/x
  3. Step 3: Cross multiply
    305.49x = 458.24 × 89.09
  4. Step 4: Simplify right side
    305.49x = 40,821.86
  5. Step 5: Solve for x
    x = 40,821.86/305.49
  6. Step 6: Final answer
    x = 133.63

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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.