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Finding the Fourth Proportional to 506.03, 694.19 and 474.59

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Solution

The fourth proportional to 506.03, 694.19 and 474.59 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.03 : 694.19 = 474.59 : x
  2. Step 2: Convert to fraction form
    506.03/694.19 = 474.59/x
  3. Step 3: Cross multiply
    506.03x = 694.19 × 474.59
  4. Step 4: Simplify right side
    506.03x = 329,458.55
  5. Step 5: Solve for x
    x = 329,458.55/506.03
  6. Step 6: Final answer
    x = 651.07

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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.