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Finding the Fourth Proportional to 324.86, 486.68 and 288.41

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Solution

The fourth proportional to 324.86, 486.68 and 288.41 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 486.68 = 288.41 : x
  2. Step 2: Convert to fraction form
    324.86/486.68 = 288.41/x
  3. Step 3: Cross multiply
    324.86x = 486.68 × 288.41
  4. Step 4: Simplify right side
    324.86x = 140,359.50
  5. Step 5: Solve for x
    x = 140,359.50/324.86
  6. Step 6: Final answer
    x = 432.07

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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.