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Finding the Fourth Proportional to 533.12, 735.70 and 297.08

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Solution

The fourth proportional to 533.12, 735.70 and 297.08 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 735.70 = 297.08 : x
  2. Step 2: Convert to fraction form
    533.12/735.70 = 297.08/x
  3. Step 3: Cross multiply
    533.12x = 735.70 × 297.08
  4. Step 4: Simplify right side
    533.12x = 218,560.43
  5. Step 5: Solve for x
    x = 218,560.43/533.12
  6. Step 6: Final answer
    x = 409.97

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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.