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Finding the Fourth Proportional to 360.38, 497.57 and 213.06

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Solution

The fourth proportional to 360.38, 497.57 and 213.06 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.38 : 497.57 = 213.06 : x
  2. Step 2: Convert to fraction form
    360.38/497.57 = 213.06/x
  3. Step 3: Cross multiply
    360.38x = 497.57 × 213.06
  4. Step 4: Simplify right side
    360.38x = 106,013.66
  5. Step 5: Solve for x
    x = 106,013.66/360.38
  6. Step 6: Final answer
    x = 294.17

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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.