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Finding the Fourth Proportional to 310.53, 428.15 and 268.53

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Solution

The fourth proportional to 310.53, 428.15 and 268.53 is: 370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.53 : 428.15 = 268.53 : x
  2. Step 2: Convert to fraction form
    310.53/428.15 = 268.53/x
  3. Step 3: Cross multiply
    310.53x = 428.15 × 268.53
  4. Step 4: Simplify right side
    310.53x = 114,969.78
  5. Step 5: Solve for x
    x = 114,969.78/310.53
  6. Step 6: Final answer
    x = 370.24

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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.