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Finding the Fourth Proportional to 909, 1,363.64 and 324.16

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Solution

The fourth proportional to 909, 1,363.64 and 324.16 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909 : 1,363.64 = 324.16 : x
  2. Step 2: Convert to fraction form
    909/1,363.64 = 324.16/x
  3. Step 3: Cross multiply
    909x = 1,363.64 × 324.16
  4. Step 4: Simplify right side
    909x = 442,032.51
  5. Step 5: Solve for x
    x = 442,032.51/909
  6. Step 6: Final answer
    x = 486.28

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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.