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Finding the Fourth Proportional to 349.24, 480.85 and 266.08

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Solution

The fourth proportional to 349.24, 480.85 and 266.08 is: 366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.24 : 480.85 = 266.08 : x
  2. Step 2: Convert to fraction form
    349.24/480.85 = 266.08/x
  3. Step 3: Cross multiply
    349.24x = 480.85 × 266.08
  4. Step 4: Simplify right side
    349.24x = 127,944.57
  5. Step 5: Solve for x
    x = 127,944.57/349.24
  6. Step 6: Final answer
    x = 366.35

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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.