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Finding the Fourth Proportional to 471.56, 706.83 and 402.88

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Solution

The fourth proportional to 471.56, 706.83 and 402.88 is: 603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 706.83 = 402.88 : x
  2. Step 2: Convert to fraction form
    471.56/706.83 = 402.88/x
  3. Step 3: Cross multiply
    471.56x = 706.83 × 402.88
  4. Step 4: Simplify right side
    471.56x = 284,765.90
  5. Step 5: Solve for x
    x = 284,765.90/471.56
  6. Step 6: Final answer
    x = 603.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.