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Finding the Fourth Proportional to 533.70, 736.08 and 409.20

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Solution

The fourth proportional to 533.70, 736.08 and 409.20 is: 564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 736.08 = 409.20 : x
  2. Step 2: Convert to fraction form
    533.70/736.08 = 409.20/x
  3. Step 3: Cross multiply
    533.70x = 736.08 × 409.20
  4. Step 4: Simplify right side
    533.70x = 301,203.94
  5. Step 5: Solve for x
    x = 301,203.94/533.70
  6. Step 6: Final answer
    x = 564.37

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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.