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Finding the Fourth Proportional to 310.64, 427.56 and 282.56

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Solution

The fourth proportional to 310.64, 427.56 and 282.56 is: 388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 427.56 = 282.56 : x
  2. Step 2: Convert to fraction form
    310.64/427.56 = 282.56/x
  3. Step 3: Cross multiply
    310.64x = 427.56 × 282.56
  4. Step 4: Simplify right side
    310.64x = 120,811.35
  5. Step 5: Solve for x
    x = 120,811.35/310.64
  6. Step 6: Final answer
    x = 388.91

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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.