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Finding the Fourth Proportional to 908.16, 1,361.76 and 330.72

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Solution

The fourth proportional to 908.16, 1,361.76 and 330.72 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.16 : 1,361.76 = 330.72 : x
  2. Step 2: Convert to fraction form
    908.16/1,361.76 = 330.72/x
  3. Step 3: Cross multiply
    908.16x = 1,361.76 × 330.72
  4. Step 4: Simplify right side
    908.16x = 450,361.27
  5. Step 5: Solve for x
    x = 450,361.27/908.16
  6. Step 6: Final answer
    x = 495.91

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Why These Related Problems?

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