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Finding the Fourth Proportional to 533.76, 736.59 and 297.71

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Solution

The fourth proportional to 533.76, 736.59 and 297.71 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 736.59 = 297.71 : x
  2. Step 2: Convert to fraction form
    533.76/736.59 = 297.71/x
  3. Step 3: Cross multiply
    533.76x = 736.59 × 297.71
  4. Step 4: Simplify right side
    533.76x = 219,286.53
  5. Step 5: Solve for x
    x = 219,286.53/533.76
  6. Step 6: Final answer
    x = 410.83

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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.