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Finding the Fourth Proportional to 322.88, 446.72 and 310.88

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Solution

The fourth proportional to 322.88, 446.72 and 310.88 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 446.72 = 310.88 : x
  2. Step 2: Convert to fraction form
    322.88/446.72 = 310.88/x
  3. Step 3: Cross multiply
    322.88x = 446.72 × 310.88
  4. Step 4: Simplify right side
    322.88x = 138,876.31
  5. Step 5: Solve for x
    x = 138,876.31/322.88
  6. Step 6: Final answer
    x = 430.12

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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.