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Finding the Fourth Proportional to 650, 896.76 and 370.16

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Solution

The fourth proportional to 650, 896.76 and 370.16 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 896.76 = 370.16 : x
  2. Step 2: Convert to fraction form
    650/896.76 = 370.16/x
  3. Step 3: Cross multiply
    650x = 896.76 × 370.16
  4. Step 4: Simplify right side
    650x = 331,944.68
  5. Step 5: Solve for x
    x = 331,944.68/650
  6. Step 6: Final answer
    x = 510.68

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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.