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Finding the Fourth Proportional to 533.96, 736.87 and 294.71

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Solution

The fourth proportional to 533.96, 736.87 and 294.71 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 736.87 = 294.71 : x
  2. Step 2: Convert to fraction form
    533.96/736.87 = 294.71/x
  3. Step 3: Cross multiply
    533.96x = 736.87 × 294.71
  4. Step 4: Simplify right side
    533.96x = 217,162.96
  5. Step 5: Solve for x
    x = 217,162.96/533.96
  6. Step 6: Final answer
    x = 406.70

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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.