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Finding the Fourth Proportional to 412.30, 568.52 and 359.38

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Solution

The fourth proportional to 412.30, 568.52 and 359.38 is: 495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 568.52 = 359.38 : x
  2. Step 2: Convert to fraction form
    412.30/568.52 = 359.38/x
  3. Step 3: Cross multiply
    412.30x = 568.52 × 359.38
  4. Step 4: Simplify right side
    412.30x = 204,314.72
  5. Step 5: Solve for x
    x = 204,314.72/412.30
  6. Step 6: Final answer
    x = 495.55

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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.