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Finding the Fourth Proportional to 650, 896.86 and 370.21

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Solution

The fourth proportional to 650, 896.86 and 370.21 is: 510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 896.86 = 370.21 : x
  2. Step 2: Convert to fraction form
    650/896.86 = 370.21/x
  3. Step 3: Cross multiply
    650x = 896.86 × 370.21
  4. Step 4: Simplify right side
    650x = 332,026.54
  5. Step 5: Solve for x
    x = 332,026.54/650
  6. Step 6: Final answer
    x = 510.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.