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Finding the Fourth Proportional to 360.46, 497.57 and 213.14

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Solution

The fourth proportional to 360.46, 497.57 and 213.14 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.46 : 497.57 = 213.14 : x
  2. Step 2: Convert to fraction form
    360.46/497.57 = 213.14/x
  3. Step 3: Cross multiply
    360.46x = 497.57 × 213.14
  4. Step 4: Simplify right side
    360.46x = 106,052.25
  5. Step 5: Solve for x
    x = 106,052.25/360.46
  6. Step 6: Final answer
    x = 294.22

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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.