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Finding the Fourth Proportional to 364.32, 545.24 and 220.14

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Solution

The fourth proportional to 364.32, 545.24 and 220.14 is: 329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 545.24 = 220.14 : x
  2. Step 2: Convert to fraction form
    364.32/545.24 = 220.14/x
  3. Step 3: Cross multiply
    364.32x = 545.24 × 220.14
  4. Step 4: Simplify right side
    364.32x = 120,029.13
  5. Step 5: Solve for x
    x = 120,029.13/364.32
  6. Step 6: Final answer
    x = 329.46

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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.