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Finding the Fourth Proportional to 533.08, 795.29 and 446.97

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Solution

The fourth proportional to 533.08, 795.29 and 446.97 is: 666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 795.29 = 446.97 : x
  2. Step 2: Convert to fraction form
    533.08/795.29 = 446.97/x
  3. Step 3: Cross multiply
    533.08x = 795.29 × 446.97
  4. Step 4: Simplify right side
    533.08x = 355,470.82
  5. Step 5: Solve for x
    x = 355,470.82/533.08
  6. Step 6: Final answer
    x = 666.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.