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Finding the Fourth Proportional to 482.10, 665.51 and 324.84

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Solution

The fourth proportional to 482.10, 665.51 and 324.84 is: 448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.10 : 665.51 = 324.84 : x
  2. Step 2: Convert to fraction form
    482.10/665.51 = 324.84/x
  3. Step 3: Cross multiply
    482.10x = 665.51 × 324.84
  4. Step 4: Simplify right side
    482.10x = 216,184.27
  5. Step 5: Solve for x
    x = 216,184.27/482.10
  6. Step 6: Final answer
    x = 448.42

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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.