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Finding the Fourth Proportional to 533.39, 800.38 and 328.05

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Solution

The fourth proportional to 533.39, 800.38 and 328.05 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.39 : 800.38 = 328.05 : x
  2. Step 2: Convert to fraction form
    533.39/800.38 = 328.05/x
  3. Step 3: Cross multiply
    533.39x = 800.38 × 328.05
  4. Step 4: Simplify right side
    533.39x = 262,565.07
  5. Step 5: Solve for x
    x = 262,565.07/533.39
  6. Step 6: Final answer
    x = 492.26

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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.