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Finding the Fourth Proportional to 395.98, 594.09 and 286.08

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Solution

The fourth proportional to 395.98, 594.09 and 286.08 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 594.09 = 286.08 : x
  2. Step 2: Convert to fraction form
    395.98/594.09 = 286.08/x
  3. Step 3: Cross multiply
    395.98x = 594.09 × 286.08
  4. Step 4: Simplify right side
    395.98x = 169,957.27
  5. Step 5: Solve for x
    x = 169,957.27/395.98
  6. Step 6: Final answer
    x = 429.21

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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.