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Finding the Fourth Proportional to 508.34, 701.48 and 311.82

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Solution

The fourth proportional to 508.34, 701.48 and 311.82 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.34 : 701.48 = 311.82 : x
  2. Step 2: Convert to fraction form
    508.34/701.48 = 311.82/x
  3. Step 3: Cross multiply
    508.34x = 701.48 × 311.82
  4. Step 4: Simplify right side
    508.34x = 218,735.49
  5. Step 5: Solve for x
    x = 218,735.49/508.34
  6. Step 6: Final answer
    x = 430.29

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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.