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Finding the Fourth Proportional to 360.45, 497.34 and 213.03

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Solution

The fourth proportional to 360.45, 497.34 and 213.03 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.45 : 497.34 = 213.03 : x
  2. Step 2: Convert to fraction form
    360.45/497.34 = 213.03/x
  3. Step 3: Cross multiply
    360.45x = 497.34 × 213.03
  4. Step 4: Simplify right side
    360.45x = 105,948.34
  5. Step 5: Solve for x
    x = 105,948.34/360.45
  6. Step 6: Final answer
    x = 293.93

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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.