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Finding the Fourth Proportional to 701.10, 966.42 and 452.16

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Solution

The fourth proportional to 701.10, 966.42 and 452.16 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.10 : 966.42 = 452.16 : x
  2. Step 2: Convert to fraction form
    701.10/966.42 = 452.16/x
  3. Step 3: Cross multiply
    701.10x = 966.42 × 452.16
  4. Step 4: Simplify right side
    701.10x = 436,976.47
  5. Step 5: Solve for x
    x = 436,976.47/701.10
  6. Step 6: Final answer
    x = 623.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.