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Finding the Fourth Proportional to 360.80, 497.83 and 213.46

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Solution

The fourth proportional to 360.80, 497.83 and 213.46 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 497.83 = 213.46 : x
  2. Step 2: Convert to fraction form
    360.80/497.83 = 213.46/x
  3. Step 3: Cross multiply
    360.80x = 497.83 × 213.46
  4. Step 4: Simplify right side
    360.80x = 106,263.24
  5. Step 5: Solve for x
    x = 106,263.24/360.80
  6. Step 6: Final answer
    x = 294.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.