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Finding the Fourth Proportional to 305.84, 458.80 and 89.44

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Solution

The fourth proportional to 305.84, 458.80 and 89.44 is: 134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 458.80 = 89.44 : x
  2. Step 2: Convert to fraction form
    305.84/458.80 = 89.44/x
  3. Step 3: Cross multiply
    305.84x = 458.80 × 89.44
  4. Step 4: Simplify right side
    305.84x = 41,033.70
  5. Step 5: Solve for x
    x = 41,033.70/305.84
  6. Step 6: Final answer
    x = 134.17

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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.