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Finding the Fourth Proportional to 360.78, 497.70 and 213.36

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Solution

The fourth proportional to 360.78, 497.70 and 213.36 is: 294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 497.70 = 213.36 : x
  2. Step 2: Convert to fraction form
    360.78/497.70 = 213.36/x
  3. Step 3: Cross multiply
    360.78x = 497.70 × 213.36
  4. Step 4: Simplify right side
    360.78x = 106,189.27
  5. Step 5: Solve for x
    x = 106,189.27/360.78
  6. Step 6: Final answer
    x = 294.33

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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.