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Finding the Fourth Proportional to 305.80, 460.98 and 279.85

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Solution

The fourth proportional to 305.80, 460.98 and 279.85 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 460.98 = 279.85 : x
  2. Step 2: Convert to fraction form
    305.80/460.98 = 279.85/x
  3. Step 3: Cross multiply
    305.80x = 460.98 × 279.85
  4. Step 4: Simplify right side
    305.80x = 129,005.25
  5. Step 5: Solve for x
    x = 129,005.25/305.80
  6. Step 6: Final answer
    x = 421.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.