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Finding the Fourth Proportional to 443.70, 612.46 and 312.74

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Solution

The fourth proportional to 443.70, 612.46 and 312.74 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 612.46 = 312.74 : x
  2. Step 2: Convert to fraction form
    443.70/612.46 = 312.74/x
  3. Step 3: Cross multiply
    443.70x = 612.46 × 312.74
  4. Step 4: Simplify right side
    443.70x = 191,540.74
  5. Step 5: Solve for x
    x = 191,540.74/443.70
  6. Step 6: Final answer
    x = 431.69

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Why These Related Problems?

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