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Finding the Fourth Proportional to 310.18, 427.48 and 301.29

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Solution

The fourth proportional to 310.18, 427.48 and 301.29 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 427.48 = 301.29 : x
  2. Step 2: Convert to fraction form
    310.18/427.48 = 301.29/x
  3. Step 3: Cross multiply
    310.18x = 427.48 × 301.29
  4. Step 4: Simplify right side
    310.18x = 128,797.43
  5. Step 5: Solve for x
    x = 128,797.43/310.18
  6. Step 6: Final answer
    x = 415.24

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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.