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Finding the Fourth Proportional to 418.86, 578.06 and 232.36

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Solution

The fourth proportional to 418.86, 578.06 and 232.36 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 578.06 = 232.36 : x
  2. Step 2: Convert to fraction form
    418.86/578.06 = 232.36/x
  3. Step 3: Cross multiply
    418.86x = 578.06 × 232.36
  4. Step 4: Simplify right side
    418.86x = 134,318.02
  5. Step 5: Solve for x
    x = 134,318.02/418.86
  6. Step 6: Final answer
    x = 320.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.