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Finding the Fourth Proportional to 408.64, 564 and 253.36

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Solution

The fourth proportional to 408.64, 564 and 253.36 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 564 = 253.36 : x
  2. Step 2: Convert to fraction form
    408.64/564 = 253.36/x
  3. Step 3: Cross multiply
    408.64x = 564 × 253.36
  4. Step 4: Simplify right side
    408.64x = 142,895.04
  5. Step 5: Solve for x
    x = 142,895.04/408.64
  6. Step 6: Final answer
    x = 349.68

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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.