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Finding the Fourth Proportional to 631.12, 946.86 and 414.44

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Solution

The fourth proportional to 631.12, 946.86 and 414.44 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.12 : 946.86 = 414.44 : x
  2. Step 2: Convert to fraction form
    631.12/946.86 = 414.44/x
  3. Step 3: Cross multiply
    631.12x = 946.86 × 414.44
  4. Step 4: Simplify right side
    631.12x = 392,416.66
  5. Step 5: Solve for x
    x = 392,416.66/631.12
  6. Step 6: Final answer
    x = 621.78

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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.