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Finding the Fourth Proportional to 506.56, 699.14 and 296.86

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Solution

The fourth proportional to 506.56, 699.14 and 296.86 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 699.14 = 296.86 : x
  2. Step 2: Convert to fraction form
    506.56/699.14 = 296.86/x
  3. Step 3: Cross multiply
    506.56x = 699.14 × 296.86
  4. Step 4: Simplify right side
    506.56x = 207,546.70
  5. Step 5: Solve for x
    x = 207,546.70/506.56
  6. Step 6: Final answer
    x = 409.72

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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.