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Finding the Fourth Proportional to 533.46, 735.90 and 367.76

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Solution

The fourth proportional to 533.46, 735.90 and 367.76 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 735.90 = 367.76 : x
  2. Step 2: Convert to fraction form
    533.46/735.90 = 367.76/x
  3. Step 3: Cross multiply
    533.46x = 735.90 × 367.76
  4. Step 4: Simplify right side
    533.46x = 270,635.04
  5. Step 5: Solve for x
    x = 270,635.04/533.46
  6. Step 6: Final answer
    x = 507.32

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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.