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Finding the Fourth Proportional to 534.20, 801.29 and 290.79

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Solution

The fourth proportional to 534.20, 801.29 and 290.79 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 801.29 = 290.79 : x
  2. Step 2: Convert to fraction form
    534.20/801.29 = 290.79/x
  3. Step 3: Cross multiply
    534.20x = 801.29 × 290.79
  4. Step 4: Simplify right side
    534.20x = 233,007.85
  5. Step 5: Solve for x
    x = 233,007.85/534.20
  6. Step 6: Final answer
    x = 436.19

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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.