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Finding the Fourth Proportional to 500.80, 691.12 and 290.98

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Solution

The fourth proportional to 500.80, 691.12 and 290.98 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 691.12 = 290.98 : x
  2. Step 2: Convert to fraction form
    500.80/691.12 = 290.98/x
  3. Step 3: Cross multiply
    500.80x = 691.12 × 290.98
  4. Step 4: Simplify right side
    500.80x = 201,102.10
  5. Step 5: Solve for x
    x = 201,102.10/500.80
  6. Step 6: Final answer
    x = 401.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.