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Finding the Fourth Proportional to 408.94, 564.51 and 310.70

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Solution

The fourth proportional to 408.94, 564.51 and 310.70 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 564.51 = 310.70 : x
  2. Step 2: Convert to fraction form
    408.94/564.51 = 310.70/x
  3. Step 3: Cross multiply
    408.94x = 564.51 × 310.70
  4. Step 4: Simplify right side
    408.94x = 175,393.26
  5. Step 5: Solve for x
    x = 175,393.26/408.94
  6. Step 6: Final answer
    x = 428.90

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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.