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Finding the Fourth Proportional to 414.86, 572.45 and 235.37

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Solution

The fourth proportional to 414.86, 572.45 and 235.37 is: 324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.86 : 572.45 = 235.37 : x
  2. Step 2: Convert to fraction form
    414.86/572.45 = 235.37/x
  3. Step 3: Cross multiply
    414.86x = 572.45 × 235.37
  4. Step 4: Simplify right side
    414.86x = 134,733.52
  5. Step 5: Solve for x
    x = 134,733.52/414.86
  6. Step 6: Final answer
    x = 324.77

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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.