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Finding the Fourth Proportional to 319.52, 478.82 and 211.07

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Solution

The fourth proportional to 319.52, 478.82 and 211.07 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 478.82 = 211.07 : x
  2. Step 2: Convert to fraction form
    319.52/478.82 = 211.07/x
  3. Step 3: Cross multiply
    319.52x = 478.82 × 211.07
  4. Step 4: Simplify right side
    319.52x = 101,066.26
  5. Step 5: Solve for x
    x = 101,066.26/319.52
  6. Step 6: Final answer
    x = 316.30

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