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Finding the Fourth Proportional to 533.98, 736.18 and 337.42

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Solution

The fourth proportional to 533.98, 736.18 and 337.42 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.98 : 736.18 = 337.42 : x
  2. Step 2: Convert to fraction form
    533.98/736.18 = 337.42/x
  3. Step 3: Cross multiply
    533.98x = 736.18 × 337.42
  4. Step 4: Simplify right side
    533.98x = 248,401.86
  5. Step 5: Solve for x
    x = 248,401.86/533.98
  6. Step 6: Final answer
    x = 465.19

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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.