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Finding the Fourth Proportional to 319.14, 479.24 and 288.46

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Solution

The fourth proportional to 319.14, 479.24 and 288.46 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 479.24 = 288.46 : x
  2. Step 2: Convert to fraction form
    319.14/479.24 = 288.46/x
  3. Step 3: Cross multiply
    319.14x = 479.24 × 288.46
  4. Step 4: Simplify right side
    319.14x = 138,241.57
  5. Step 5: Solve for x
    x = 138,241.57/319.14
  6. Step 6: Final answer
    x = 433.17

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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.