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Finding the Fourth Proportional to 310.26, 467.49 and 257.34

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Solution

The fourth proportional to 310.26, 467.49 and 257.34 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 467.49 = 257.34 : x
  2. Step 2: Convert to fraction form
    310.26/467.49 = 257.34/x
  3. Step 3: Cross multiply
    310.26x = 467.49 × 257.34
  4. Step 4: Simplify right side
    310.26x = 120,303.88
  5. Step 5: Solve for x
    x = 120,303.88/310.26
  6. Step 6: Final answer
    x = 387.75

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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.