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Finding the Fourth Proportional to 395.67, 592.85 and 350.31

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Solution

The fourth proportional to 395.67, 592.85 and 350.31 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.67 : 592.85 = 350.31 : x
  2. Step 2: Convert to fraction form
    395.67/592.85 = 350.31/x
  3. Step 3: Cross multiply
    395.67x = 592.85 × 350.31
  4. Step 4: Simplify right side
    395.67x = 207,679.53
  5. Step 5: Solve for x
    x = 207,679.53/395.67
  6. Step 6: Final answer
    x = 524.88

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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.