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Finding the Fourth Proportional to 533.16, 735.71 and 408.51

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Solution

The fourth proportional to 533.16, 735.71 and 408.51 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.16 : 735.71 = 408.51 : x
  2. Step 2: Convert to fraction form
    533.16/735.71 = 408.51/x
  3. Step 3: Cross multiply
    533.16x = 735.71 × 408.51
  4. Step 4: Simplify right side
    533.16x = 300,542.85
  5. Step 5: Solve for x
    x = 300,542.85/533.16
  6. Step 6: Final answer
    x = 563.70

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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.