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Finding the Fourth Proportional to 499.98, 689.92 and 290.14

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Solution

The fourth proportional to 499.98, 689.92 and 290.14 is: 400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.98 : 689.92 = 290.14 : x
  2. Step 2: Convert to fraction form
    499.98/689.92 = 290.14/x
  3. Step 3: Cross multiply
    499.98x = 689.92 × 290.14
  4. Step 4: Simplify right side
    499.98x = 200,173.39
  5. Step 5: Solve for x
    x = 200,173.39/499.98
  6. Step 6: Final answer
    x = 400.36

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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.