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Finding the Fourth Proportional to 389.24, 582.49 and 235.06

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Solution

The fourth proportional to 389.24, 582.49 and 235.06 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 582.49 = 235.06 : x
  2. Step 2: Convert to fraction form
    389.24/582.49 = 235.06/x
  3. Step 3: Cross multiply
    389.24x = 582.49 × 235.06
  4. Step 4: Simplify right side
    389.24x = 136,920.10
  5. Step 5: Solve for x
    x = 136,920.10/389.24
  6. Step 6: Final answer
    x = 351.76

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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.