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Finding the Fourth Proportional to 364.24, 545.06 and 343.46

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Solution

The fourth proportional to 364.24, 545.06 and 343.46 is: 513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 545.06 = 343.46 : x
  2. Step 2: Convert to fraction form
    364.24/545.06 = 343.46/x
  3. Step 3: Cross multiply
    364.24x = 545.06 × 343.46
  4. Step 4: Simplify right side
    364.24x = 187,206.31
  5. Step 5: Solve for x
    x = 187,206.31/364.24
  6. Step 6: Final answer
    x = 513.96

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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.