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Finding the Fourth Proportional to 362.96, 543.18 and 297.20

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Solution

The fourth proportional to 362.96, 543.18 and 297.20 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.96 : 543.18 = 297.20 : x
  2. Step 2: Convert to fraction form
    362.96/543.18 = 297.20/x
  3. Step 3: Cross multiply
    362.96x = 543.18 × 297.20
  4. Step 4: Simplify right side
    362.96x = 161,433.10
  5. Step 5: Solve for x
    x = 161,433.10/362.96
  6. Step 6: Final answer
    x = 444.77

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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.