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Finding the Fourth Proportional to 664.52, 913.98 and 533.24

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Solution

The fourth proportional to 664.52, 913.98 and 533.24 is: 733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.52 : 913.98 = 533.24 : x
  2. Step 2: Convert to fraction form
    664.52/913.98 = 533.24/x
  3. Step 3: Cross multiply
    664.52x = 913.98 × 533.24
  4. Step 4: Simplify right side
    664.52x = 487,366.13
  5. Step 5: Solve for x
    x = 487,366.13/664.52
  6. Step 6: Final answer
    x = 733.42

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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.