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Finding the Fourth Proportional to 319.76, 478.82 and 268.13

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Solution

The fourth proportional to 319.76, 478.82 and 268.13 is: 401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.76 : 478.82 = 268.13 : x
  2. Step 2: Convert to fraction form
    319.76/478.82 = 268.13/x
  3. Step 3: Cross multiply
    319.76x = 478.82 × 268.13
  4. Step 4: Simplify right side
    319.76x = 128,382.27
  5. Step 5: Solve for x
    x = 128,382.27/319.76
  6. Step 6: Final answer
    x = 401.50

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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.