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Finding the Fourth Proportional to 305.92, 458.89 and 89.50

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Solution

The fourth proportional to 305.92, 458.89 and 89.50 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 458.89 = 89.50 : x
  2. Step 2: Convert to fraction form
    305.92/458.89 = 89.50/x
  3. Step 3: Cross multiply
    305.92x = 458.89 × 89.50
  4. Step 4: Simplify right side
    305.92x = 41,070.66
  5. Step 5: Solve for x
    x = 41,070.66/305.92
  6. Step 6: Final answer
    x = 134.25

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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.