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Finding the Fourth Proportional to 472.63, 652.06 and 276.07

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Solution

The fourth proportional to 472.63, 652.06 and 276.07 is: 380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.63 : 652.06 = 276.07 : x
  2. Step 2: Convert to fraction form
    472.63/652.06 = 276.07/x
  3. Step 3: Cross multiply
    472.63x = 652.06 × 276.07
  4. Step 4: Simplify right side
    472.63x = 180,014.20
  5. Step 5: Solve for x
    x = 180,014.20/472.63
  6. Step 6: Final answer
    x = 380.88

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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.