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Finding the Fourth Proportional to 471.57, 706.41 and 454.02

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Solution

The fourth proportional to 471.57, 706.41 and 454.02 is: 680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.57 : 706.41 = 454.02 : x
  2. Step 2: Convert to fraction form
    471.57/706.41 = 454.02/x
  3. Step 3: Cross multiply
    471.57x = 706.41 × 454.02
  4. Step 4: Simplify right side
    471.57x = 320,724.27
  5. Step 5: Solve for x
    x = 320,724.27/471.57
  6. Step 6: Final answer
    x = 680.12

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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.