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Finding the Fourth Proportional to 472.72, 652.29 and 276.22

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Solution

The fourth proportional to 472.72, 652.29 and 276.22 is: 381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 652.29 = 276.22 : x
  2. Step 2: Convert to fraction form
    472.72/652.29 = 276.22/x
  3. Step 3: Cross multiply
    472.72x = 652.29 × 276.22
  4. Step 4: Simplify right side
    472.72x = 180,175.54
  5. Step 5: Solve for x
    x = 180,175.54/472.72
  6. Step 6: Final answer
    x = 381.15

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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.