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Finding the Fourth Proportional to 373.80, 563.24 and 310.22

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Solution

The fourth proportional to 373.80, 563.24 and 310.22 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.80 : 563.24 = 310.22 : x
  2. Step 2: Convert to fraction form
    373.80/563.24 = 310.22/x
  3. Step 3: Cross multiply
    373.80x = 563.24 × 310.22
  4. Step 4: Simplify right side
    373.80x = 174,723.95
  5. Step 5: Solve for x
    x = 174,723.95/373.80
  6. Step 6: Final answer
    x = 467.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.