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Finding the Fourth Proportional to 472.84, 709.57 and 184.28

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Solution

The fourth proportional to 472.84, 709.57 and 184.28 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 709.57 = 184.28 : x
  2. Step 2: Convert to fraction form
    472.84/709.57 = 184.28/x
  3. Step 3: Cross multiply
    472.84x = 709.57 × 184.28
  4. Step 4: Simplify right side
    472.84x = 130,759.56
  5. Step 5: Solve for x
    x = 130,759.56/472.84
  6. Step 6: Final answer
    x = 276.54

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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.