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Finding the Fourth Proportional to 612.18, 844.80 and 332.42

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Solution

The fourth proportional to 612.18, 844.80 and 332.42 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.18 : 844.80 = 332.42 : x
  2. Step 2: Convert to fraction form
    612.18/844.80 = 332.42/x
  3. Step 3: Cross multiply
    612.18x = 844.80 × 332.42
  4. Step 4: Simplify right side
    612.18x = 280,830.72
  5. Step 5: Solve for x
    x = 280,830.72/612.18
  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.