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Finding the Fourth Proportional to 399.74, 599.62 and 143.06

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Solution

The fourth proportional to 399.74, 599.62 and 143.06 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 599.62 = 143.06 : x
  2. Step 2: Convert to fraction form
    399.74/599.62 = 143.06/x
  3. Step 3: Cross multiply
    399.74x = 599.62 × 143.06
  4. Step 4: Simplify right side
    399.74x = 85,781.64
  5. Step 5: Solve for x
    x = 85,781.64/399.74
  6. Step 6: Final answer
    x = 214.59

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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.