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Finding the Fourth Proportional to 312.64, 468.69 and 216.52

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Solution

The fourth proportional to 312.64, 468.69 and 216.52 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 468.69 = 216.52 : x
  2. Step 2: Convert to fraction form
    312.64/468.69 = 216.52/x
  3. Step 3: Cross multiply
    312.64x = 468.69 × 216.52
  4. Step 4: Simplify right side
    312.64x = 101,480.76
  5. Step 5: Solve for x
    x = 101,480.76/312.64
  6. Step 6: Final answer
    x = 324.59

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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.