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Finding the Fourth Proportional to 500.57, 690.53 and 290.73

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Solution

The fourth proportional to 500.57, 690.53 and 290.73 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.57 : 690.53 = 290.73 : x
  2. Step 2: Convert to fraction form
    500.57/690.53 = 290.73/x
  3. Step 3: Cross multiply
    500.57x = 690.53 × 290.73
  4. Step 4: Simplify right side
    500.57x = 200,756.33
  5. Step 5: Solve for x
    x = 200,756.33/500.57
  6. Step 6: Final answer
    x = 401.06

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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.