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Finding the Fourth Proportional to 533.85, 736.66 and 337.35

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Solution

The fourth proportional to 533.85, 736.66 and 337.35 is: 465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.85 : 736.66 = 337.35 : x
  2. Step 2: Convert to fraction form
    533.85/736.66 = 337.35/x
  3. Step 3: Cross multiply
    533.85x = 736.66 × 337.35
  4. Step 4: Simplify right side
    533.85x = 248,512.25
  5. Step 5: Solve for x
    x = 248,512.25/533.85
  6. Step 6: Final answer
    x = 465.51

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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.