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Finding the Fourth Proportional to 533.95, 801.16 and 290.11

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Solution

The fourth proportional to 533.95, 801.16 and 290.11 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.95 : 801.16 = 290.11 : x
  2. Step 2: Convert to fraction form
    533.95/801.16 = 290.11/x
  3. Step 3: Cross multiply
    533.95x = 801.16 × 290.11
  4. Step 4: Simplify right side
    533.95x = 232,419.80
  5. Step 5: Solve for x
    x = 232,419.80/533.95
  6. Step 6: Final answer
    x = 435.29

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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.