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Finding the Fourth Proportional to 394.69, 592.08 and 175.31

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Solution

The fourth proportional to 394.69, 592.08 and 175.31 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.69 : 592.08 = 175.31 : x
  2. Step 2: Convert to fraction form
    394.69/592.08 = 175.31/x
  3. Step 3: Cross multiply
    394.69x = 592.08 × 175.31
  4. Step 4: Simplify right side
    394.69x = 103,799.03
  5. Step 5: Solve for x
    x = 103,799.03/394.69
  6. Step 6: Final answer
    x = 262.99

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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.