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Finding the Fourth Proportional to 395.80, 594.12 and 286.24

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Solution

The fourth proportional to 395.80, 594.12 and 286.24 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.80 : 594.12 = 286.24 : x
  2. Step 2: Convert to fraction form
    395.80/594.12 = 286.24/x
  3. Step 3: Cross multiply
    395.80x = 594.12 × 286.24
  4. Step 4: Simplify right side
    395.80x = 170,060.91
  5. Step 5: Solve for x
    x = 170,060.91/395.80
  6. Step 6: Final answer
    x = 429.66

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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.