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Finding the Fourth Proportional to 472.38, 707.94 and 298.68

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Solution

The fourth proportional to 472.38, 707.94 and 298.68 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 707.94 = 298.68 : x
  2. Step 2: Convert to fraction form
    472.38/707.94 = 298.68/x
  3. Step 3: Cross multiply
    472.38x = 707.94 × 298.68
  4. Step 4: Simplify right side
    472.38x = 211,447.52
  5. Step 5: Solve for x
    x = 211,447.52/472.38
  6. Step 6: Final answer
    x = 447.62

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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.