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Finding the Fourth Proportional to 533.52, 737.18 and 423.96

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Solution

The fourth proportional to 533.52, 737.18 and 423.96 is: 585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 737.18 = 423.96 : x
  2. Step 2: Convert to fraction form
    533.52/737.18 = 423.96/x
  3. Step 3: Cross multiply
    533.52x = 737.18 × 423.96
  4. Step 4: Simplify right side
    533.52x = 312,532.71
  5. Step 5: Solve for x
    x = 312,532.71/533.52
  6. Step 6: Final answer
    x = 585.79

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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.