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Finding the Fourth Proportional to 313.38, 431.42 and 282.06

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Solution

The fourth proportional to 313.38, 431.42 and 282.06 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 431.42 = 282.06 : x
  2. Step 2: Convert to fraction form
    313.38/431.42 = 282.06/x
  3. Step 3: Cross multiply
    313.38x = 431.42 × 282.06
  4. Step 4: Simplify right side
    313.38x = 121,686.33
  5. Step 5: Solve for x
    x = 121,686.33/313.38
  6. Step 6: Final answer
    x = 388.30

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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.