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Finding the Fourth Proportional to 360.50, 497.37 and 211.09

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Solution

The fourth proportional to 360.50, 497.37 and 211.09 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 497.37 = 211.09 : x
  2. Step 2: Convert to fraction form
    360.50/497.37 = 211.09/x
  3. Step 3: Cross multiply
    360.50x = 497.37 × 211.09
  4. Step 4: Simplify right side
    360.50x = 104,989.83
  5. Step 5: Solve for x
    x = 104,989.83/360.50
  6. Step 6: Final answer
    x = 291.23

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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.