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Finding the Fourth Proportional to 305.94, 458.77 and 89.48

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Solution

The fourth proportional to 305.94, 458.77 and 89.48 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 458.77 = 89.48 : x
  2. Step 2: Convert to fraction form
    305.94/458.77 = 89.48/x
  3. Step 3: Cross multiply
    305.94x = 458.77 × 89.48
  4. Step 4: Simplify right side
    305.94x = 41,050.45
  5. Step 5: Solve for x
    x = 41,050.45/305.94
  6. Step 6: Final answer
    x = 134.18

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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.