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Finding the Fourth Proportional to 472.44, 652.14 and 276.06

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Solution

The fourth proportional to 472.44, 652.14 and 276.06 is: 381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 652.14 = 276.06 : x
  2. Step 2: Convert to fraction form
    472.44/652.14 = 276.06/x
  3. Step 3: Cross multiply
    472.44x = 652.14 × 276.06
  4. Step 4: Simplify right side
    472.44x = 180,029.77
  5. Step 5: Solve for x
    x = 180,029.77/472.44
  6. Step 6: Final answer
    x = 381.06

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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.