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Finding the Fourth Proportional to 533.54, 736.37 and 337.14

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Solution

The fourth proportional to 533.54, 736.37 and 337.14 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.54 : 736.37 = 337.14 : x
  2. Step 2: Convert to fraction form
    533.54/736.37 = 337.14/x
  3. Step 3: Cross multiply
    533.54x = 736.37 × 337.14
  4. Step 4: Simplify right side
    533.54x = 248,259.78
  5. Step 5: Solve for x
    x = 248,259.78/533.54
  6. Step 6: Final answer
    x = 465.31

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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.