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Finding the Fourth Proportional to 612.13, 844.47 and 363.31

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Solution

The fourth proportional to 612.13, 844.47 and 363.31 is: 501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.13 : 844.47 = 363.31 : x
  2. Step 2: Convert to fraction form
    612.13/844.47 = 363.31/x
  3. Step 3: Cross multiply
    612.13x = 844.47 × 363.31
  4. Step 4: Simplify right side
    612.13x = 306,802.58
  5. Step 5: Solve for x
    x = 306,802.58/612.13
  6. Step 6: Final answer
    x = 501.20

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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.