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Finding the Fourth Proportional to 319.28, 478.71 and 211.01

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Solution

The fourth proportional to 319.28, 478.71 and 211.01 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 478.71 = 211.01 : x
  2. Step 2: Convert to fraction form
    319.28/478.71 = 211.01/x
  3. Step 3: Cross multiply
    319.28x = 478.71 × 211.01
  4. Step 4: Simplify right side
    319.28x = 101,010.20
  5. Step 5: Solve for x
    x = 101,010.20/319.28
  6. Step 6: Final answer
    x = 316.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.