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Finding the Fourth Proportional to 612.06, 844.68 and 363.66

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Solution

The fourth proportional to 612.06, 844.68 and 363.66 is: 501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 844.68 = 363.66 : x
  2. Step 2: Convert to fraction form
    612.06/844.68 = 363.66/x
  3. Step 3: Cross multiply
    612.06x = 844.68 × 363.66
  4. Step 4: Simplify right side
    612.06x = 307,176.33
  5. Step 5: Solve for x
    x = 307,176.33/612.06
  6. Step 6: Final answer
    x = 501.87

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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.