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Finding the Fourth Proportional to 508.57, 701.05 and 311.74

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Solution

The fourth proportional to 508.57, 701.05 and 311.74 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 701.05 = 311.74 : x
  2. Step 2: Convert to fraction form
    508.57/701.05 = 311.74/x
  3. Step 3: Cross multiply
    508.57x = 701.05 × 311.74
  4. Step 4: Simplify right side
    508.57x = 218,545.33
  5. Step 5: Solve for x
    x = 218,545.33/508.57
  6. Step 6: Final answer
    x = 429.73

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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.