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Finding the Fourth Proportional to 599.67, 826.41 and 400.14

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Solution

The fourth proportional to 599.67, 826.41 and 400.14 is: 551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 826.41 = 400.14 : x
  2. Step 2: Convert to fraction form
    599.67/826.41 = 400.14/x
  3. Step 3: Cross multiply
    599.67x = 826.41 × 400.14
  4. Step 4: Simplify right side
    599.67x = 330,679.70
  5. Step 5: Solve for x
    x = 330,679.70/599.67
  6. Step 6: Final answer
    x = 551.44

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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.