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Finding the Fourth Proportional to 360.31, 497.24 and 213.07

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Solution

The fourth proportional to 360.31, 497.24 and 213.07 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.31 : 497.24 = 213.07 : x
  2. Step 2: Convert to fraction form
    360.31/497.24 = 213.07/x
  3. Step 3: Cross multiply
    360.31x = 497.24 × 213.07
  4. Step 4: Simplify right side
    360.31x = 105,946.93
  5. Step 5: Solve for x
    x = 105,946.93/360.31
  6. Step 6: Final answer
    x = 294.04

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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.