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Finding the Fourth Proportional to 506.40, 698.40 and 408.12

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Solution

The fourth proportional to 506.40, 698.40 and 408.12 is: 562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 698.40 = 408.12 : x
  2. Step 2: Convert to fraction form
    506.40/698.40 = 408.12/x
  3. Step 3: Cross multiply
    506.40x = 698.40 × 408.12
  4. Step 4: Simplify right side
    506.40x = 285,031.01
  5. Step 5: Solve for x
    x = 285,031.01/506.40
  6. Step 6: Final answer
    x = 562.86

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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.