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Finding the Fourth Proportional to 394.04, 590.86 and 174.58

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Solution

The fourth proportional to 394.04, 590.86 and 174.58 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 590.86 = 174.58 : x
  2. Step 2: Convert to fraction form
    394.04/590.86 = 174.58/x
  3. Step 3: Cross multiply
    394.04x = 590.86 × 174.58
  4. Step 4: Simplify right side
    394.04x = 103,152.34
  5. Step 5: Solve for x
    x = 103,152.34/394.04
  6. Step 6: Final answer
    x = 261.78

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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.