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Finding the Fourth Proportional to 360.49, 497.45 and 213.14

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Solution

The fourth proportional to 360.49, 497.45 and 213.14 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.49 : 497.45 = 213.14 : x
  2. Step 2: Convert to fraction form
    360.49/497.45 = 213.14/x
  3. Step 3: Cross multiply
    360.49x = 497.45 × 213.14
  4. Step 4: Simplify right side
    360.49x = 106,024.54
  5. Step 5: Solve for x
    x = 106,024.54/360.49
  6. Step 6: Final answer
    x = 294.11

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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.