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Finding the Fourth Proportional to 399.16, 599.10 and 271

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Solution

The fourth proportional to 399.16, 599.10 and 271 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.16 : 599.10 = 271 : x
  2. Step 2: Convert to fraction form
    399.16/599.10 = 271/x
  3. Step 3: Cross multiply
    399.16x = 599.10 × 271
  4. Step 4: Simplify right side
    399.16x = 162,356.10
  5. Step 5: Solve for x
    x = 162,356.10/399.16
  6. Step 6: Final answer
    x = 406.74

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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.