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Finding the Fourth Proportional to 533.94, 736.77 and 297.87

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Solution

The fourth proportional to 533.94, 736.77 and 297.87 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.94 : 736.77 = 297.87 : x
  2. Step 2: Convert to fraction form
    533.94/736.77 = 297.87/x
  3. Step 3: Cross multiply
    533.94x = 736.77 × 297.87
  4. Step 4: Simplify right side
    533.94x = 219,461.68
  5. Step 5: Solve for x
    x = 219,461.68/533.94
  6. Step 6: Final answer
    x = 411.02

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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.