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Finding the Fourth Proportional to 305.85, 459.69 and 269.40

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Solution

The fourth proportional to 305.85, 459.69 and 269.40 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 459.69 = 269.40 : x
  2. Step 2: Convert to fraction form
    305.85/459.69 = 269.40/x
  3. Step 3: Cross multiply
    305.85x = 459.69 × 269.40
  4. Step 4: Simplify right side
    305.85x = 123,840.49
  5. Step 5: Solve for x
    x = 123,840.49/305.85
  6. Step 6: Final answer
    x = 404.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.