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Finding the Fourth Proportional to 529.82, 791.72 and 397.18

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Solution

The fourth proportional to 529.82, 791.72 and 397.18 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 791.72 = 397.18 : x
  2. Step 2: Convert to fraction form
    529.82/791.72 = 397.18/x
  3. Step 3: Cross multiply
    529.82x = 791.72 × 397.18
  4. Step 4: Simplify right side
    529.82x = 314,455.35
  5. Step 5: Solve for x
    x = 314,455.35/529.82
  6. Step 6: Final answer
    x = 593.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.