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Finding the Fourth Proportional to 319.62, 478.60 and 268.14

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Solution

The fourth proportional to 319.62, 478.60 and 268.14 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 478.60 = 268.14 : x
  2. Step 2: Convert to fraction form
    319.62/478.60 = 268.14/x
  3. Step 3: Cross multiply
    319.62x = 478.60 × 268.14
  4. Step 4: Simplify right side
    319.62x = 128,331.80
  5. Step 5: Solve for x
    x = 128,331.80/319.62
  6. Step 6: Final answer
    x = 401.51

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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.