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Finding the Fourth Proportional to 474.57, 654.49 and 363.78

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Solution

The fourth proportional to 474.57, 654.49 and 363.78 is: 501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.57 : 654.49 = 363.78 : x
  2. Step 2: Convert to fraction form
    474.57/654.49 = 363.78/x
  3. Step 3: Cross multiply
    474.57x = 654.49 × 363.78
  4. Step 4: Simplify right side
    474.57x = 238,090.37
  5. Step 5: Solve for x
    x = 238,090.37/474.57
  6. Step 6: Final answer
    x = 501.70

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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.