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Finding the Fourth Proportional to 360.68, 542.14 and 300.20

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Solution

The fourth proportional to 360.68, 542.14 and 300.20 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.68 : 542.14 = 300.20 : x
  2. Step 2: Convert to fraction form
    360.68/542.14 = 300.20/x
  3. Step 3: Cross multiply
    360.68x = 542.14 × 300.20
  4. Step 4: Simplify right side
    360.68x = 162,750.43
  5. Step 5: Solve for x
    x = 162,750.43/360.68
  6. Step 6: Final answer
    x = 451.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.