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Finding the Fourth Proportional to 583.13, 874.69 and 399.97

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Solution

The fourth proportional to 583.13, 874.69 and 399.97 is: 599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 874.69 = 399.97 : x
  2. Step 2: Convert to fraction form
    583.13/874.69 = 399.97/x
  3. Step 3: Cross multiply
    583.13x = 874.69 × 399.97
  4. Step 4: Simplify right side
    583.13x = 349,844.39
  5. Step 5: Solve for x
    x = 349,844.39/583.13
  6. Step 6: Final answer
    x = 599.95

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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.