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Finding the Fourth Proportional to 471.46, 706.92 and 240.21

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Solution

The fourth proportional to 471.46, 706.92 and 240.21 is: 360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 706.92 = 240.21 : x
  2. Step 2: Convert to fraction form
    471.46/706.92 = 240.21/x
  3. Step 3: Cross multiply
    471.46x = 706.92 × 240.21
  4. Step 4: Simplify right side
    471.46x = 169,809.25
  5. Step 5: Solve for x
    x = 169,809.25/471.46
  6. Step 6: Final answer
    x = 360.18

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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.