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Finding the Fourth Proportional to 474.73, 654.50 and 341.84

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Solution

The fourth proportional to 474.73, 654.50 and 341.84 is: 471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 654.50 = 341.84 : x
  2. Step 2: Convert to fraction form
    474.73/654.50 = 341.84/x
  3. Step 3: Cross multiply
    474.73x = 654.50 × 341.84
  4. Step 4: Simplify right side
    474.73x = 223,734.28
  5. Step 5: Solve for x
    x = 223,734.28/474.73
  6. Step 6: Final answer
    x = 471.29

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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.