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Finding the Fourth Proportional to 394.15, 590.13 and 325.99

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Solution

The fourth proportional to 394.15, 590.13 and 325.99 is: 488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.15 : 590.13 = 325.99 : x
  2. Step 2: Convert to fraction form
    394.15/590.13 = 325.99/x
  3. Step 3: Cross multiply
    394.15x = 590.13 × 325.99
  4. Step 4: Simplify right side
    394.15x = 192,376.48
  5. Step 5: Solve for x
    x = 192,376.48/394.15
  6. Step 6: Final answer
    x = 488.08

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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.