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Finding the Fourth Proportional to 547.22, 754.96 and 360.80

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Solution

The fourth proportional to 547.22, 754.96 and 360.80 is: 497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 754.96 = 360.80 : x
  2. Step 2: Convert to fraction form
    547.22/754.96 = 360.80/x
  3. Step 3: Cross multiply
    547.22x = 754.96 × 360.80
  4. Step 4: Simplify right side
    547.22x = 272,389.57
  5. Step 5: Solve for x
    x = 272,389.57/547.22
  6. Step 6: Final answer
    x = 497.77

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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.