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Finding the Fourth Proportional to 500.87, 691.25 and 290.99

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Solution

The fourth proportional to 500.87, 691.25 and 290.99 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.87 : 691.25 = 290.99 : x
  2. Step 2: Convert to fraction form
    500.87/691.25 = 290.99/x
  3. Step 3: Cross multiply
    500.87x = 691.25 × 290.99
  4. Step 4: Simplify right side
    500.87x = 201,147.11
  5. Step 5: Solve for x
    x = 201,147.11/500.87
  6. Step 6: Final answer
    x = 401.59

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Why These Related Problems?

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