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Finding the Fourth Proportional to 399.84, 599.24 and 194.16

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Solution

The fourth proportional to 399.84, 599.24 and 194.16 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 599.24 = 194.16 : x
  2. Step 2: Convert to fraction form
    399.84/599.24 = 194.16/x
  3. Step 3: Cross multiply
    399.84x = 599.24 × 194.16
  4. Step 4: Simplify right side
    399.84x = 116,348.44
  5. Step 5: Solve for x
    x = 116,348.44/399.84
  6. Step 6: Final answer
    x = 290.99

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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.