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Finding the Fourth Proportional to 472.88, 709.38 and 184.28

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Solution

The fourth proportional to 472.88, 709.38 and 184.28 is: 276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 709.38 = 184.28 : x
  2. Step 2: Convert to fraction form
    472.88/709.38 = 184.28/x
  3. Step 3: Cross multiply
    472.88x = 709.38 × 184.28
  4. Step 4: Simplify right side
    472.88x = 130,724.55
  5. Step 5: Solve for x
    x = 130,724.55/472.88
  6. Step 6: Final answer
    x = 276.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.