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Finding the Fourth Proportional to 399.05, 599.46 and 283.76

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Solution

The fourth proportional to 399.05, 599.46 and 283.76 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.05 : 599.46 = 283.76 : x
  2. Step 2: Convert to fraction form
    399.05/599.46 = 283.76/x
  3. Step 3: Cross multiply
    399.05x = 599.46 × 283.76
  4. Step 4: Simplify right side
    399.05x = 170,102.77
  5. Step 5: Solve for x
    x = 170,102.77/399.05
  6. Step 6: Final answer
    x = 426.27

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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.