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Finding the Fourth Proportional to 506.56, 694.49 and 497.33

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Solution

The fourth proportional to 506.56, 694.49 and 497.33 is: 681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 694.49 = 497.33 : x
  2. Step 2: Convert to fraction form
    506.56/694.49 = 497.33/x
  3. Step 3: Cross multiply
    506.56x = 694.49 × 497.33
  4. Step 4: Simplify right side
    506.56x = 345,390.71
  5. Step 5: Solve for x
    x = 345,390.71/506.56
  6. Step 6: Final answer
    x = 681.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.