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Finding the Fourth Proportional to 533.92, 736.50 and 402.52

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Solution

The fourth proportional to 533.92, 736.50 and 402.52 is: 555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.92 : 736.50 = 402.52 : x
  2. Step 2: Convert to fraction form
    533.92/736.50 = 402.52/x
  3. Step 3: Cross multiply
    533.92x = 736.50 × 402.52
  4. Step 4: Simplify right side
    533.92x = 296,455.98
  5. Step 5: Solve for x
    x = 296,455.98/533.92
  6. Step 6: Final answer
    x = 555.24

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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.