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Finding the Fourth Proportional to 408.42, 563.67 and 253.08

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Solution

The fourth proportional to 408.42, 563.67 and 253.08 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 563.67 = 253.08 : x
  2. Step 2: Convert to fraction form
    408.42/563.67 = 253.08/x
  3. Step 3: Cross multiply
    408.42x = 563.67 × 253.08
  4. Step 4: Simplify right side
    408.42x = 142,653.60
  5. Step 5: Solve for x
    x = 142,653.60/408.42
  6. Step 6: Final answer
    x = 349.28

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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.