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Finding the Fourth Proportional to 408.64, 563.12 and 310.24

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Solution

The fourth proportional to 408.64, 563.12 and 310.24 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 563.12 = 310.24 : x
  2. Step 2: Convert to fraction form
    408.64/563.12 = 310.24/x
  3. Step 3: Cross multiply
    408.64x = 563.12 × 310.24
  4. Step 4: Simplify right side
    408.64x = 174,702.35
  5. Step 5: Solve for x
    x = 174,702.35/408.64
  6. Step 6: Final answer
    x = 427.52

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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.