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Finding the Fourth Proportional to 310.82, 429.06 and 281.18

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Solution

The fourth proportional to 310.82, 429.06 and 281.18 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 429.06 = 281.18 : x
  2. Step 2: Convert to fraction form
    310.82/429.06 = 281.18/x
  3. Step 3: Cross multiply
    310.82x = 429.06 × 281.18
  4. Step 4: Simplify right side
    310.82x = 120,643.09
  5. Step 5: Solve for x
    x = 120,643.09/310.82
  6. Step 6: Final answer
    x = 388.14

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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.