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Finding the Fourth Proportional to 319.13, 478.23 and 232.08

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Solution

The fourth proportional to 319.13, 478.23 and 232.08 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 478.23 = 232.08 : x
  2. Step 2: Convert to fraction form
    319.13/478.23 = 232.08/x
  3. Step 3: Cross multiply
    319.13x = 478.23 × 232.08
  4. Step 4: Simplify right side
    319.13x = 110,987.62
  5. Step 5: Solve for x
    x = 110,987.62/319.13
  6. Step 6: Final answer
    x = 347.79

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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.