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Finding the Fourth Proportional to 360.77, 497.91 and 220.93

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Solution

The fourth proportional to 360.77, 497.91 and 220.93 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 497.91 = 220.93 : x
  2. Step 2: Convert to fraction form
    360.77/497.91 = 220.93/x
  3. Step 3: Cross multiply
    360.77x = 497.91 × 220.93
  4. Step 4: Simplify right side
    360.77x = 110,003.26
  5. Step 5: Solve for x
    x = 110,003.26/360.77
  6. Step 6: Final answer
    x = 304.91

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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.