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Finding the Fourth Proportional to 394.58, 591.84 and 175.14

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Solution

The fourth proportional to 394.58, 591.84 and 175.14 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.58 : 591.84 = 175.14 : x
  2. Step 2: Convert to fraction form
    394.58/591.84 = 175.14/x
  3. Step 3: Cross multiply
    394.58x = 591.84 × 175.14
  4. Step 4: Simplify right side
    394.58x = 103,654.86
  5. Step 5: Solve for x
    x = 103,654.86/394.58
  6. Step 6: Final answer
    x = 262.70

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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.