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Finding the Fourth Proportional to 349.38, 480.96 and 266.34

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Solution

The fourth proportional to 349.38, 480.96 and 266.34 is: 366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.38 : 480.96 = 266.34 : x
  2. Step 2: Convert to fraction form
    349.38/480.96 = 266.34/x
  3. Step 3: Cross multiply
    349.38x = 480.96 × 266.34
  4. Step 4: Simplify right side
    349.38x = 128,098.89
  5. Step 5: Solve for x
    x = 128,098.89/349.38
  6. Step 6: Final answer
    x = 366.65

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Why These Related Problems?

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