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Finding the Fourth Proportional to 533.08, 799.77 and 414.32

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Solution

The fourth proportional to 533.08, 799.77 and 414.32 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 799.77 = 414.32 : x
  2. Step 2: Convert to fraction form
    533.08/799.77 = 414.32/x
  3. Step 3: Cross multiply
    533.08x = 799.77 × 414.32
  4. Step 4: Simplify right side
    533.08x = 331,358.26
  5. Step 5: Solve for x
    x = 331,358.26/533.08
  6. Step 6: Final answer
    x = 621.59

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