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Finding the Fourth Proportional to 364.64, 546.23 and 218.07

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Solution

The fourth proportional to 364.64, 546.23 and 218.07 is: 326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 546.23 = 218.07 : x
  2. Step 2: Convert to fraction form
    364.64/546.23 = 218.07/x
  3. Step 3: Cross multiply
    364.64x = 546.23 × 218.07
  4. Step 4: Simplify right side
    364.64x = 119,116.92
  5. Step 5: Solve for x
    x = 119,116.92/364.64
  6. Step 6: Final answer
    x = 326.67

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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.