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Finding the Fourth Proportional to 533.72, 801.12 and 341.48

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Solution

The fourth proportional to 533.72, 801.12 and 341.48 is: 512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 801.12 = 341.48 : x
  2. Step 2: Convert to fraction form
    533.72/801.12 = 341.48/x
  3. Step 3: Cross multiply
    533.72x = 801.12 × 341.48
  4. Step 4: Simplify right side
    533.72x = 273,566.46
  5. Step 5: Solve for x
    x = 273,566.46/533.72
  6. Step 6: Final answer
    x = 512.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.