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Finding the Fourth Proportional to 364.40, 545.68 and 218.06

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Solution

The fourth proportional to 364.40, 545.68 and 218.06 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 545.68 = 218.06 : x
  2. Step 2: Convert to fraction form
    364.40/545.68 = 218.06/x
  3. Step 3: Cross multiply
    364.40x = 545.68 × 218.06
  4. Step 4: Simplify right side
    364.40x = 118,990.98
  5. Step 5: Solve for x
    x = 118,990.98/364.40
  6. Step 6: Final answer
    x = 326.54

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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.