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Finding the Fourth Proportional to 394.04, 590.52 and 249.50

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Solution

The fourth proportional to 394.04, 590.52 and 249.50 is: 373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 590.52 = 249.50 : x
  2. Step 2: Convert to fraction form
    394.04/590.52 = 249.50/x
  3. Step 3: Cross multiply
    394.04x = 590.52 × 249.50
  4. Step 4: Simplify right side
    394.04x = 147,334.74
  5. Step 5: Solve for x
    x = 147,334.74/394.04
  6. Step 6: Final answer
    x = 373.91

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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.