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Finding the Fourth Proportional to 500.62, 690.96 and 304.09

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Solution

The fourth proportional to 500.62, 690.96 and 304.09 is: 419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 690.96 = 304.09 : x
  2. Step 2: Convert to fraction form
    500.62/690.96 = 304.09/x
  3. Step 3: Cross multiply
    500.62x = 690.96 × 304.09
  4. Step 4: Simplify right side
    500.62x = 210,114.03
  5. Step 5: Solve for x
    x = 210,114.03/500.62
  6. Step 6: Final answer
    x = 419.71

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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.