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Finding the Fourth Proportional to 472.51, 709.07 and 229.30

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Solution

The fourth proportional to 472.51, 709.07 and 229.30 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.51 : 709.07 = 229.30 : x
  2. Step 2: Convert to fraction form
    472.51/709.07 = 229.30/x
  3. Step 3: Cross multiply
    472.51x = 709.07 × 229.30
  4. Step 4: Simplify right side
    472.51x = 162,589.75
  5. Step 5: Solve for x
    x = 162,589.75/472.51
  6. Step 6: Final answer
    x = 344.10

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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.