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Finding the Fourth Proportional to 496.96, 685.84 and 290.08

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Solution

The fourth proportional to 496.96, 685.84 and 290.08 is: 400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 685.84 = 290.08 : x
  2. Step 2: Convert to fraction form
    496.96/685.84 = 290.08/x
  3. Step 3: Cross multiply
    496.96x = 685.84 × 290.08
  4. Step 4: Simplify right side
    496.96x = 198,948.47
  5. Step 5: Solve for x
    x = 198,948.47/496.96
  6. Step 6: Final answer
    x = 400.33

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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.