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Finding the Fourth Proportional to 533.36, 735.97 and 297.25

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Solution

The fourth proportional to 533.36, 735.97 and 297.25 is: 410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 735.97 = 297.25 : x
  2. Step 2: Convert to fraction form
    533.36/735.97 = 297.25/x
  3. Step 3: Cross multiply
    533.36x = 735.97 × 297.25
  4. Step 4: Simplify right side
    533.36x = 218,767.08
  5. Step 5: Solve for x
    x = 218,767.08/533.36
  6. Step 6: Final answer
    x = 410.17

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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.