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Finding the Fourth Proportional to 305.06, 455.33 and 268.61

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Solution

The fourth proportional to 305.06, 455.33 and 268.61 is: 400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 455.33 = 268.61 : x
  2. Step 2: Convert to fraction form
    305.06/455.33 = 268.61/x
  3. Step 3: Cross multiply
    305.06x = 455.33 × 268.61
  4. Step 4: Simplify right side
    305.06x = 122,304.85
  5. Step 5: Solve for x
    x = 122,304.85/305.06
  6. Step 6: Final answer
    x = 400.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.