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Finding the Fourth Proportional to 310.28, 429.06 and 261.80

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Solution

The fourth proportional to 310.28, 429.06 and 261.80 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 429.06 = 261.80 : x
  2. Step 2: Convert to fraction form
    310.28/429.06 = 261.80/x
  3. Step 3: Cross multiply
    310.28x = 429.06 × 261.80
  4. Step 4: Simplify right side
    310.28x = 112,327.91
  5. Step 5: Solve for x
    x = 112,327.91/310.28
  6. Step 6: Final answer
    x = 362.02

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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.