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Finding the Fourth Proportional to 500.06, 690.14 and 290.20

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Solution

The fourth proportional to 500.06, 690.14 and 290.20 is: 400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 690.14 = 290.20 : x
  2. Step 2: Convert to fraction form
    500.06/690.14 = 290.20/x
  3. Step 3: Cross multiply
    500.06x = 690.14 × 290.20
  4. Step 4: Simplify right side
    500.06x = 200,278.85
  5. Step 5: Solve for x
    x = 200,278.85/500.06
  6. Step 6: Final answer
    x = 400.51

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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.