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Finding the Fourth Proportional to 472.11, 706.56 and 289.41

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Solution

The fourth proportional to 472.11, 706.56 and 289.41 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.11 : 706.56 = 289.41 : x
  2. Step 2: Convert to fraction form
    472.11/706.56 = 289.41/x
  3. Step 3: Cross multiply
    472.11x = 706.56 × 289.41
  4. Step 4: Simplify right side
    472.11x = 204,485.53
  5. Step 5: Solve for x
    x = 204,485.53/472.11
  6. Step 6: Final answer
    x = 433.13

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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.