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Finding the Fourth Proportional to 506.64, 698.54 and 375.42

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Solution

The fourth proportional to 506.64, 698.54 and 375.42 is: 517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 698.54 = 375.42 : x
  2. Step 2: Convert to fraction form
    506.64/698.54 = 375.42/x
  3. Step 3: Cross multiply
    506.64x = 698.54 × 375.42
  4. Step 4: Simplify right side
    506.64x = 262,245.89
  5. Step 5: Solve for x
    x = 262,245.89/506.64
  6. Step 6: Final answer
    x = 517.62

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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.