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Finding the Fourth Proportional to 400.57, 599.76 and 207.79

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Solution

The fourth proportional to 400.57, 599.76 and 207.79 is: 311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 599.76 = 207.79 : x
  2. Step 2: Convert to fraction form
    400.57/599.76 = 207.79/x
  3. Step 3: Cross multiply
    400.57x = 599.76 × 207.79
  4. Step 4: Simplify right side
    400.57x = 124,622.09
  5. Step 5: Solve for x
    x = 124,622.09/400.57
  6. Step 6: Final answer
    x = 311.12

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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.