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Finding the Fourth Proportional to 482.23, 665.57 and 324.86

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Solution

The fourth proportional to 482.23, 665.57 and 324.86 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.23 : 665.57 = 324.86 : x
  2. Step 2: Convert to fraction form
    482.23/665.57 = 324.86/x
  3. Step 3: Cross multiply
    482.23x = 665.57 × 324.86
  4. Step 4: Simplify right side
    482.23x = 216,216.47
  5. Step 5: Solve for x
    x = 216,216.47/482.23
  6. Step 6: Final answer
    x = 448.37

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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.