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Finding the Fourth Proportional to 533.16, 735.36 and 333.80

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Solution

The fourth proportional to 533.16, 735.36 and 333.80 is: 460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.16 : 735.36 = 333.80 : x
  2. Step 2: Convert to fraction form
    533.16/735.36 = 333.80/x
  3. Step 3: Cross multiply
    533.16x = 735.36 × 333.80
  4. Step 4: Simplify right side
    533.16x = 245,463.17
  5. Step 5: Solve for x
    x = 245,463.17/533.16
  6. Step 6: Final answer
    x = 460.39

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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.