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Finding the Fourth Proportional to 319.19, 478.77 and 299.15

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Solution

The fourth proportional to 319.19, 478.77 and 299.15 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 478.77 = 299.15 : x
  2. Step 2: Convert to fraction form
    319.19/478.77 = 299.15/x
  3. Step 3: Cross multiply
    319.19x = 478.77 × 299.15
  4. Step 4: Simplify right side
    319.19x = 143,224.05
  5. Step 5: Solve for x
    x = 143,224.05/319.19
  6. Step 6: Final answer
    x = 448.71

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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.