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Finding the Fourth Proportional to 533.99, 801.32 and 290.68

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Solution

The fourth proportional to 533.99, 801.32 and 290.68 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 801.32 = 290.68 : x
  2. Step 2: Convert to fraction form
    533.99/801.32 = 290.68/x
  3. Step 3: Cross multiply
    533.99x = 801.32 × 290.68
  4. Step 4: Simplify right side
    533.99x = 232,927.70
  5. Step 5: Solve for x
    x = 232,927.70/533.99
  6. Step 6: Final answer
    x = 436.20

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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.