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Finding the Fourth Proportional to 315.92, 435.60 and 217.76

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Solution

The fourth proportional to 315.92, 435.60 and 217.76 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 435.60 = 217.76 : x
  2. Step 2: Convert to fraction form
    315.92/435.60 = 217.76/x
  3. Step 3: Cross multiply
    315.92x = 435.60 × 217.76
  4. Step 4: Simplify right side
    315.92x = 94,856.26
  5. Step 5: Solve for x
    x = 94,856.26/315.92
  6. Step 6: Final answer
    x = 300.25

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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.