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Finding the Fourth Proportional to 533.88, 736.38 and 337.08

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Solution

The fourth proportional to 533.88, 736.38 and 337.08 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 736.38 = 337.08 : x
  2. Step 2: Convert to fraction form
    533.88/736.38 = 337.08/x
  3. Step 3: Cross multiply
    533.88x = 736.38 × 337.08
  4. Step 4: Simplify right side
    533.88x = 248,218.97
  5. Step 5: Solve for x
    x = 248,218.97/533.88
  6. Step 6: Final answer
    x = 464.93

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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.