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Finding the Fourth Proportional to 535.81, 799.18 and 454.09

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Solution

The fourth proportional to 535.81, 799.18 and 454.09 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.81 : 799.18 = 454.09 : x
  2. Step 2: Convert to fraction form
    535.81/799.18 = 454.09/x
  3. Step 3: Cross multiply
    535.81x = 799.18 × 454.09
  4. Step 4: Simplify right side
    535.81x = 362,899.65
  5. Step 5: Solve for x
    x = 362,899.65/535.81
  6. Step 6: Final answer
    x = 677.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.