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Finding the Fourth Proportional to 480.16, 662.70 and 283.78

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Solution

The fourth proportional to 480.16, 662.70 and 283.78 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.16 : 662.70 = 283.78 : x
  2. Step 2: Convert to fraction form
    480.16/662.70 = 283.78/x
  3. Step 3: Cross multiply
    480.16x = 662.70 × 283.78
  4. Step 4: Simplify right side
    480.16x = 188,061.01
  5. Step 5: Solve for x
    x = 188,061.01/480.16
  6. Step 6: Final answer
    x = 391.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.