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Finding the Fourth Proportional to 310.33, 427.84 and 243.81

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Solution

The fourth proportional to 310.33, 427.84 and 243.81 is: 336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.33 : 427.84 = 243.81 : x
  2. Step 2: Convert to fraction form
    310.33/427.84 = 243.81/x
  3. Step 3: Cross multiply
    310.33x = 427.84 × 243.81
  4. Step 4: Simplify right side
    310.33x = 104,311.67
  5. Step 5: Solve for x
    x = 104,311.67/310.33
  6. Step 6: Final answer
    x = 336.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.