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Finding the Fourth Proportional to 500.81, 691.19 and 304.38

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Solution

The fourth proportional to 500.81, 691.19 and 304.38 is: 420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.81 : 691.19 = 304.38 : x
  2. Step 2: Convert to fraction form
    500.81/691.19 = 304.38/x
  3. Step 3: Cross multiply
    500.81x = 691.19 × 304.38
  4. Step 4: Simplify right side
    500.81x = 210,382.89
  5. Step 5: Solve for x
    x = 210,382.89/500.81
  6. Step 6: Final answer
    x = 420.09

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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.