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Finding the Fourth Proportional to 394.08, 589.86 and 355.20

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Solution

The fourth proportional to 394.08, 589.86 and 355.20 is: 531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 589.86 = 355.20 : x
  2. Step 2: Convert to fraction form
    394.08/589.86 = 355.20/x
  3. Step 3: Cross multiply
    394.08x = 589.86 × 355.20
  4. Step 4: Simplify right side
    394.08x = 209,518.27
  5. Step 5: Solve for x
    x = 209,518.27/394.08
  6. Step 6: Final answer
    x = 531.66

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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.