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Finding the Fourth Proportional to 506.72, 760.08 and 411.14

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Solution

The fourth proportional to 506.72, 760.08 and 411.14 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.72 : 760.08 = 411.14 : x
  2. Step 2: Convert to fraction form
    506.72/760.08 = 411.14/x
  3. Step 3: Cross multiply
    506.72x = 760.08 × 411.14
  4. Step 4: Simplify right side
    506.72x = 312,499.29
  5. Step 5: Solve for x
    x = 312,499.29/506.72
  6. Step 6: Final answer
    x = 616.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.