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Finding the Fourth Proportional to 360.74, 497.66 and 213.29

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Solution

The fourth proportional to 360.74, 497.66 and 213.29 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 497.66 = 213.29 : x
  2. Step 2: Convert to fraction form
    360.74/497.66 = 213.29/x
  3. Step 3: Cross multiply
    360.74x = 497.66 × 213.29
  4. Step 4: Simplify right side
    360.74x = 106,142.35
  5. Step 5: Solve for x
    x = 106,142.35/360.74
  6. Step 6: Final answer
    x = 294.24

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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.