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Finding the Fourth Proportional to 506.24, 698 and 412.64

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Solution

The fourth proportional to 506.24, 698 and 412.64 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.24 : 698 = 412.64 : x
  2. Step 2: Convert to fraction form
    506.24/698 = 412.64/x
  3. Step 3: Cross multiply
    506.24x = 698 × 412.64
  4. Step 4: Simplify right side
    506.24x = 288,022.72
  5. Step 5: Solve for x
    x = 288,022.72/506.24
  6. Step 6: Final answer
    x = 568.95

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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.