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Finding the Fourth Proportional to 533.45, 736.29 and 385.83

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Solution

The fourth proportional to 533.45, 736.29 and 385.83 is: 532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 736.29 = 385.83 : x
  2. Step 2: Convert to fraction form
    533.45/736.29 = 385.83/x
  3. Step 3: Cross multiply
    533.45x = 736.29 × 385.83
  4. Step 4: Simplify right side
    533.45x = 284,082.77
  5. Step 5: Solve for x
    x = 284,082.77/533.45
  6. Step 6: Final answer
    x = 532.54

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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.