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Finding the Fourth Proportional to 471.68, 706.40 and 402.80

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Solution

The fourth proportional to 471.68, 706.40 and 402.80 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 706.40 = 402.80 : x
  2. Step 2: Convert to fraction form
    471.68/706.40 = 402.80/x
  3. Step 3: Cross multiply
    471.68x = 706.40 × 402.80
  4. Step 4: Simplify right side
    471.68x = 284,537.92
  5. Step 5: Solve for x
    x = 284,537.92/471.68
  6. Step 6: Final answer
    x = 603.24

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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.