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Finding the Fourth Proportional to 474.19, 654.43 and 275.10

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Solution

The fourth proportional to 474.19, 654.43 and 275.10 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.19 : 654.43 = 275.10 : x
  2. Step 2: Convert to fraction form
    474.19/654.43 = 275.10/x
  3. Step 3: Cross multiply
    474.19x = 654.43 × 275.10
  4. Step 4: Simplify right side
    474.19x = 180,029.05
  5. Step 5: Solve for x
    x = 180,029.05/474.19
  6. Step 6: Final answer
    x = 379.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.