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Finding the Fourth Proportional to 533.29, 735.95 and 297.26

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Solution

The fourth proportional to 533.29, 735.95 and 297.26 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.29 : 735.95 = 297.26 : x
  2. Step 2: Convert to fraction form
    533.29/735.95 = 297.26/x
  3. Step 3: Cross multiply
    533.29x = 735.95 × 297.26
  4. Step 4: Simplify right side
    533.29x = 218,764.82
  5. Step 5: Solve for x
    x = 218,764.82/533.29
  6. Step 6: Final answer
    x = 410.22

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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.