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Finding the Fourth Proportional to 305.71, 458.63 and 89.29

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Solution

The fourth proportional to 305.71, 458.63 and 89.29 is: 133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 458.63 = 89.29 : x
  2. Step 2: Convert to fraction form
    305.71/458.63 = 89.29/x
  3. Step 3: Cross multiply
    305.71x = 458.63 × 89.29
  4. Step 4: Simplify right side
    305.71x = 40,951.07
  5. Step 5: Solve for x
    x = 40,951.07/305.71
  6. Step 6: Final answer
    x = 133.95

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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.