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Finding the Fourth Proportional to 631.43, 946.06 and 343.07

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Solution

The fourth proportional to 631.43, 946.06 and 343.07 is: 514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.43 : 946.06 = 343.07 : x
  2. Step 2: Convert to fraction form
    631.43/946.06 = 343.07/x
  3. Step 3: Cross multiply
    631.43x = 946.06 × 343.07
  4. Step 4: Simplify right side
    631.43x = 324,564.80
  5. Step 5: Solve for x
    x = 324,564.80/631.43
  6. Step 6: Final answer
    x = 514.02

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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.