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Finding the Fourth Proportional to 320.46, 480.78 and 216.78

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Solution

The fourth proportional to 320.46, 480.78 and 216.78 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 480.78 = 216.78 : x
  2. Step 2: Convert to fraction form
    320.46/480.78 = 216.78/x
  3. Step 3: Cross multiply
    320.46x = 480.78 × 216.78
  4. Step 4: Simplify right side
    320.46x = 104,223.49
  5. Step 5: Solve for x
    x = 104,223.49/320.46
  6. Step 6: Final answer
    x = 325.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.