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Finding the Fourth Proportional to 315.95, 436.28 and 217.67

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Solution

The fourth proportional to 315.95, 436.28 and 217.67 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 436.28 = 217.67 : x
  2. Step 2: Convert to fraction form
    315.95/436.28 = 217.67/x
  3. Step 3: Cross multiply
    315.95x = 436.28 × 217.67
  4. Step 4: Simplify right side
    315.95x = 94,961.80
  5. Step 5: Solve for x
    x = 94,961.80/315.95
  6. Step 6: Final answer
    x = 300.56

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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.