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Finding the Fourth Proportional to 508.36, 701.22 and 311.71

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Solution

The fourth proportional to 508.36, 701.22 and 311.71 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.36 : 701.22 = 311.71 : x
  2. Step 2: Convert to fraction form
    508.36/701.22 = 311.71/x
  3. Step 3: Cross multiply
    508.36x = 701.22 × 311.71
  4. Step 4: Simplify right side
    508.36x = 218,577.29
  5. Step 5: Solve for x
    x = 218,577.29/508.36
  6. Step 6: Final answer
    x = 429.97

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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.