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Finding the Fourth Proportional to 395.04, 544.90 and 284.34

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Solution

The fourth proportional to 395.04, 544.90 and 284.34 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.04 : 544.90 = 284.34 : x
  2. Step 2: Convert to fraction form
    395.04/544.90 = 284.34/x
  3. Step 3: Cross multiply
    395.04x = 544.90 × 284.34
  4. Step 4: Simplify right side
    395.04x = 154,936.87
  5. Step 5: Solve for x
    x = 154,936.87/395.04
  6. Step 6: Final answer
    x = 392.21

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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.