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Finding the Fourth Proportional to 394.76, 592.12 and 175.24

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Solution

The fourth proportional to 394.76, 592.12 and 175.24 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 592.12 = 175.24 : x
  2. Step 2: Convert to fraction form
    394.76/592.12 = 175.24/x
  3. Step 3: Cross multiply
    394.76x = 592.12 × 175.24
  4. Step 4: Simplify right side
    394.76x = 103,763.11
  5. Step 5: Solve for x
    x = 103,763.11/394.76
  6. Step 6: Final answer
    x = 262.85

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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.