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Finding the Fourth Proportional to 310.35, 428.11 and 216.93

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Solution

The fourth proportional to 310.35, 428.11 and 216.93 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 428.11 = 216.93 : x
  2. Step 2: Convert to fraction form
    310.35/428.11 = 216.93/x
  3. Step 3: Cross multiply
    310.35x = 428.11 × 216.93
  4. Step 4: Simplify right side
    310.35x = 92,870.97
  5. Step 5: Solve for x
    x = 92,870.97/310.35
  6. Step 6: Final answer
    x = 299.24

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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.