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Finding the Fourth Proportional to 399.82, 550.53 and 340.69

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Solution

The fourth proportional to 399.82, 550.53 and 340.69 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.82 : 550.53 = 340.69 : x
  2. Step 2: Convert to fraction form
    399.82/550.53 = 340.69/x
  3. Step 3: Cross multiply
    399.82x = 550.53 × 340.69
  4. Step 4: Simplify right side
    399.82x = 187,560.07
  5. Step 5: Solve for x
    x = 187,560.07/399.82
  6. Step 6: Final answer
    x = 469.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.