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Finding the Fourth Proportional to 305.83, 458.75 and 89.41

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Solution

The fourth proportional to 305.83, 458.75 and 89.41 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 458.75 = 89.41 : x
  2. Step 2: Convert to fraction form
    305.83/458.75 = 89.41/x
  3. Step 3: Cross multiply
    305.83x = 458.75 × 89.41
  4. Step 4: Simplify right side
    305.83x = 41,016.84
  5. Step 5: Solve for x
    x = 41,016.84/305.83
  6. Step 6: Final answer
    x = 134.12

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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.