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Finding the Fourth Proportional to 482.32, 665.39 and 325.05

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Solution

The fourth proportional to 482.32, 665.39 and 325.05 is: 448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 665.39 = 325.05 : x
  2. Step 2: Convert to fraction form
    482.32/665.39 = 325.05/x
  3. Step 3: Cross multiply
    482.32x = 665.39 × 325.05
  4. Step 4: Simplify right side
    482.32x = 216,285.23
  5. Step 5: Solve for x
    x = 216,285.23/482.32
  6. Step 6: Final answer
    x = 448.43

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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.