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Finding the Fourth Proportional to 533.97, 796.17 and 524.25

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Solution

The fourth proportional to 533.97, 796.17 and 524.25 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 796.17 = 524.25 : x
  2. Step 2: Convert to fraction form
    533.97/796.17 = 524.25/x
  3. Step 3: Cross multiply
    533.97x = 796.17 × 524.25
  4. Step 4: Simplify right side
    533.97x = 417,392.12
  5. Step 5: Solve for x
    x = 417,392.12/533.97
  6. Step 6: Final answer
    x = 781.68

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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.