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Finding the Fourth Proportional to 506.29, 698.32 and 464.98

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Solution

The fourth proportional to 506.29, 698.32 and 464.98 is: 641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 698.32 = 464.98 : x
  2. Step 2: Convert to fraction form
    506.29/698.32 = 464.98/x
  3. Step 3: Cross multiply
    506.29x = 698.32 × 464.98
  4. Step 4: Simplify right side
    506.29x = 324,704.83
  5. Step 5: Solve for x
    x = 324,704.83/506.29
  6. Step 6: Final answer
    x = 641.34

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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.