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Finding the Fourth Proportional to 319.41, 478.49 and 299.43

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Solution

The fourth proportional to 319.41, 478.49 and 299.43 is: 448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 478.49 = 299.43 : x
  2. Step 2: Convert to fraction form
    319.41/478.49 = 299.43/x
  3. Step 3: Cross multiply
    319.41x = 478.49 × 299.43
  4. Step 4: Simplify right side
    319.41x = 143,272.76
  5. Step 5: Solve for x
    x = 143,272.76/319.41
  6. Step 6: Final answer
    x = 448.55

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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.