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Finding the Fourth Proportional to 533.76, 736.61 and 337.24

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Solution

The fourth proportional to 533.76, 736.61 and 337.24 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 736.61 = 337.24 : x
  2. Step 2: Convert to fraction form
    533.76/736.61 = 337.24/x
  3. Step 3: Cross multiply
    533.76x = 736.61 × 337.24
  4. Step 4: Simplify right side
    533.76x = 248,414.36
  5. Step 5: Solve for x
    x = 248,414.36/533.76
  6. Step 6: Final answer
    x = 465.40

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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.