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Finding the Fourth Proportional to 506.32, 698.08 and 412.97

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Solution

The fourth proportional to 506.32, 698.08 and 412.97 is: 569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 698.08 = 412.97 : x
  2. Step 2: Convert to fraction form
    506.32/698.08 = 412.97/x
  3. Step 3: Cross multiply
    506.32x = 698.08 × 412.97
  4. Step 4: Simplify right side
    506.32x = 288,280.54
  5. Step 5: Solve for x
    x = 288,280.54/506.32
  6. Step 6: Final answer
    x = 569.37

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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.