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Finding the Fourth Proportional to 508.16, 701.31 and 311.80

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Solution

The fourth proportional to 508.16, 701.31 and 311.80 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 701.31 = 311.80 : x
  2. Step 2: Convert to fraction form
    508.16/701.31 = 311.80/x
  3. Step 3: Cross multiply
    508.16x = 701.31 × 311.80
  4. Step 4: Simplify right side
    508.16x = 218,668.46
  5. Step 5: Solve for x
    x = 218,668.46/508.16
  6. Step 6: Final answer
    x = 430.31

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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.