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Finding the Fourth Proportional to 500.62, 690.24 and 411.79

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Solution

The fourth proportional to 500.62, 690.24 and 411.79 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 690.24 = 411.79 : x
  2. Step 2: Convert to fraction form
    500.62/690.24 = 411.79/x
  3. Step 3: Cross multiply
    500.62x = 690.24 × 411.79
  4. Step 4: Simplify right side
    500.62x = 284,233.93
  5. Step 5: Solve for x
    x = 284,233.93/500.62
  6. Step 6: Final answer
    x = 567.76

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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.