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Finding the Fourth Proportional to 533.12, 736.16 and 446.72

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Solution

The fourth proportional to 533.12, 736.16 and 446.72 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 736.16 = 446.72 : x
  2. Step 2: Convert to fraction form
    533.12/736.16 = 446.72/x
  3. Step 3: Cross multiply
    533.12x = 736.16 × 446.72
  4. Step 4: Simplify right side
    533.12x = 328,857.40
  5. Step 5: Solve for x
    x = 328,857.40/533.12
  6. Step 6: Final answer
    x = 616.85

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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.