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Finding the Fourth Proportional to 533.88, 801.38 and 303.22

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Solution

The fourth proportional to 533.88, 801.38 and 303.22 is: 455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 801.38 = 303.22 : x
  2. Step 2: Convert to fraction form
    533.88/801.38 = 303.22/x
  3. Step 3: Cross multiply
    533.88x = 801.38 × 303.22
  4. Step 4: Simplify right side
    533.88x = 242,996.20
  5. Step 5: Solve for x
    x = 242,996.20/533.88
  6. Step 6: Final answer
    x = 455.15

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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.