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Finding the Fourth Proportional to 360.94, 497.52 and 282.12

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Solution

The fourth proportional to 360.94, 497.52 and 282.12 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 497.52 = 282.12 : x
  2. Step 2: Convert to fraction form
    360.94/497.52 = 282.12/x
  3. Step 3: Cross multiply
    360.94x = 497.52 × 282.12
  4. Step 4: Simplify right side
    360.94x = 140,358.93
  5. Step 5: Solve for x
    x = 140,358.93/360.94
  6. Step 6: Final answer
    x = 388.87

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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.