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Finding the Fourth Proportional to 583.97, 805.24 and 397.49

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Solution

The fourth proportional to 583.97, 805.24 and 397.49 is: 548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 805.24 = 397.49 : x
  2. Step 2: Convert to fraction form
    583.97/805.24 = 397.49/x
  3. Step 3: Cross multiply
    583.97x = 805.24 × 397.49
  4. Step 4: Simplify right side
    583.97x = 320,074.85
  5. Step 5: Solve for x
    x = 320,074.85/583.97
  6. Step 6: Final answer
    x = 548.10

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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.