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Finding the Fourth Proportional to 418.88, 578.04 and 232.37

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Solution

The fourth proportional to 418.88, 578.04 and 232.37 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 578.04 = 232.37 : x
  2. Step 2: Convert to fraction form
    418.88/578.04 = 232.37/x
  3. Step 3: Cross multiply
    418.88x = 578.04 × 232.37
  4. Step 4: Simplify right side
    418.88x = 134,319.15
  5. Step 5: Solve for x
    x = 134,319.15/418.88
  6. Step 6: Final answer
    x = 320.66

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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.