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Finding the Fourth Proportional to 319.90, 477.55 and 299.04

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Solution

The fourth proportional to 319.90, 477.55 and 299.04 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 477.55 = 299.04 : x
  2. Step 2: Convert to fraction form
    319.90/477.55 = 299.04/x
  3. Step 3: Cross multiply
    319.90x = 477.55 × 299.04
  4. Step 4: Simplify right side
    319.90x = 142,806.14
  5. Step 5: Solve for x
    x = 142,806.14/319.90
  6. Step 6: Final answer
    x = 446.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.