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Finding the Fourth Proportional to 533.42, 736.19 and 323.77

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Solution

The fourth proportional to 533.42, 736.19 and 323.77 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 736.19 = 323.77 : x
  2. Step 2: Convert to fraction form
    533.42/736.19 = 323.77/x
  3. Step 3: Cross multiply
    533.42x = 736.19 × 323.77
  4. Step 4: Simplify right side
    533.42x = 238,355.21
  5. Step 5: Solve for x
    x = 238,355.21/533.42
  6. Step 6: Final answer
    x = 446.84

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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.