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Finding the Fourth Proportional to 499.99, 689.84 and 290.12

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Solution

The fourth proportional to 499.99, 689.84 and 290.12 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.99 : 689.84 = 290.12 : x
  2. Step 2: Convert to fraction form
    499.99/689.84 = 290.12/x
  3. Step 3: Cross multiply
    499.99x = 689.84 × 290.12
  4. Step 4: Simplify right side
    499.99x = 200,138.83
  5. Step 5: Solve for x
    x = 200,138.83/499.99
  6. Step 6: Final answer
    x = 400.29

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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.