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Finding the Fourth Proportional to 357.72, 537.30 and 213.36

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Solution

The fourth proportional to 357.72, 537.30 and 213.36 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.72 : 537.30 = 213.36 : x
  2. Step 2: Convert to fraction form
    357.72/537.30 = 213.36/x
  3. Step 3: Cross multiply
    357.72x = 537.30 × 213.36
  4. Step 4: Simplify right side
    357.72x = 114,638.33
  5. Step 5: Solve for x
    x = 114,638.33/357.72
  6. Step 6: Final answer
    x = 320.47

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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.