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Finding the Fourth Proportional to 611.54, 844.06 and 363

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Solution

The fourth proportional to 611.54, 844.06 and 363 is: 501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.54 : 844.06 = 363 : x
  2. Step 2: Convert to fraction form
    611.54/844.06 = 363/x
  3. Step 3: Cross multiply
    611.54x = 844.06 × 363
  4. Step 4: Simplify right side
    611.54x = 306,393.78
  5. Step 5: Solve for x
    x = 306,393.78/611.54
  6. Step 6: Final answer
    x = 501.02

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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.