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Finding the Fourth Proportional to 533.96, 736.40 and 423.24

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Solution

The fourth proportional to 533.96, 736.40 and 423.24 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 736.40 = 423.24 : x
  2. Step 2: Convert to fraction form
    533.96/736.40 = 423.24/x
  3. Step 3: Cross multiply
    533.96x = 736.40 × 423.24
  4. Step 4: Simplify right side
    533.96x = 311,673.94
  5. Step 5: Solve for x
    x = 311,673.94/533.96
  6. Step 6: Final answer
    x = 583.70

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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.