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Finding the Fourth Proportional to 312.84, 468.33 and 246.69

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Solution

The fourth proportional to 312.84, 468.33 and 246.69 is: 369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 468.33 = 246.69 : x
  2. Step 2: Convert to fraction form
    312.84/468.33 = 246.69/x
  3. Step 3: Cross multiply
    312.84x = 468.33 × 246.69
  4. Step 4: Simplify right side
    312.84x = 115,532.33
  5. Step 5: Solve for x
    x = 115,532.33/312.84
  6. Step 6: Final answer
    x = 369.30

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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.