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Finding the Fourth Proportional to 533.57, 736.56 and 415.26

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Solution

The fourth proportional to 533.57, 736.56 and 415.26 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.57 : 736.56 = 415.26 : x
  2. Step 2: Convert to fraction form
    533.57/736.56 = 415.26/x
  3. Step 3: Cross multiply
    533.57x = 736.56 × 415.26
  4. Step 4: Simplify right side
    533.57x = 305,863.91
  5. Step 5: Solve for x
    x = 305,863.91/533.57
  6. Step 6: Final answer
    x = 573.25

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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.