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Finding the Fourth Proportional to 533.97, 736.17 and 492.24

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Solution

The fourth proportional to 533.97, 736.17 and 492.24 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 736.17 = 492.24 : x
  2. Step 2: Convert to fraction form
    533.97/736.17 = 492.24/x
  3. Step 3: Cross multiply
    533.97x = 736.17 × 492.24
  4. Step 4: Simplify right side
    533.97x = 362,372.32
  5. Step 5: Solve for x
    x = 362,372.32/533.97
  6. Step 6: Final answer
    x = 678.64

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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.