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Finding the Fourth Proportional to 388.34, 584.81 and 280.88

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Solution

The fourth proportional to 388.34, 584.81 and 280.88 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.34 : 584.81 = 280.88 : x
  2. Step 2: Convert to fraction form
    388.34/584.81 = 280.88/x
  3. Step 3: Cross multiply
    388.34x = 584.81 × 280.88
  4. Step 4: Simplify right side
    388.34x = 164,261.43
  5. Step 5: Solve for x
    x = 164,261.43/388.34
  6. Step 6: Final answer
    x = 422.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.