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Finding the Fourth Proportional to 477.85, 659.42 and 268.05

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Solution

The fourth proportional to 477.85, 659.42 and 268.05 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.85 : 659.42 = 268.05 : x
  2. Step 2: Convert to fraction form
    477.85/659.42 = 268.05/x
  3. Step 3: Cross multiply
    477.85x = 659.42 × 268.05
  4. Step 4: Simplify right side
    477.85x = 176,757.53
  5. Step 5: Solve for x
    x = 176,757.53/477.85
  6. Step 6: Final answer
    x = 369.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.