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Finding the Fourth Proportional to 612.19, 844.81 and 332.43

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Solution

The fourth proportional to 612.19, 844.81 and 332.43 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.19 : 844.81 = 332.43 : x
  2. Step 2: Convert to fraction form
    612.19/844.81 = 332.43/x
  3. Step 3: Cross multiply
    612.19x = 844.81 × 332.43
  4. Step 4: Simplify right side
    612.19x = 280,836.19
  5. Step 5: Solve for x
    x = 280,836.19/612.19
  6. Step 6: Final answer
    x = 458.74

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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.