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Finding the Fourth Proportional to 399.80, 598.67 and 276.78

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Solution

The fourth proportional to 399.80, 598.67 and 276.78 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.80 : 598.67 = 276.78 : x
  2. Step 2: Convert to fraction form
    399.80/598.67 = 276.78/x
  3. Step 3: Cross multiply
    399.80x = 598.67 × 276.78
  4. Step 4: Simplify right side
    399.80x = 165,699.88
  5. Step 5: Solve for x
    x = 165,699.88/399.80
  6. Step 6: Final answer
    x = 414.46

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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.