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Finding the Fourth Proportional to 470.22, 701.12 and 452.16

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Solution

The fourth proportional to 470.22, 701.12 and 452.16 is: 674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 701.12 = 452.16 : x
  2. Step 2: Convert to fraction form
    470.22/701.12 = 452.16/x
  3. Step 3: Cross multiply
    470.22x = 701.12 × 452.16
  4. Step 4: Simplify right side
    470.22x = 317,016.16
  5. Step 5: Solve for x
    x = 317,016.16/470.22
  6. Step 6: Final answer
    x = 674.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.