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Finding the Fourth Proportional to 474.20, 654.72 and 363.48

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Solution

The fourth proportional to 474.20, 654.72 and 363.48 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.20 : 654.72 = 363.48 : x
  2. Step 2: Convert to fraction form
    474.20/654.72 = 363.48/x
  3. Step 3: Cross multiply
    474.20x = 654.72 × 363.48
  4. Step 4: Simplify right side
    474.20x = 237,977.63
  5. Step 5: Solve for x
    x = 237,977.63/474.20
  6. Step 6: Final answer
    x = 501.85

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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.