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Finding the Fourth Proportional to 909.56, 1,364.24 and 324.54

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Solution

The fourth proportional to 909.56, 1,364.24 and 324.54 is: 486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.56 : 1,364.24 = 324.54 : x
  2. Step 2: Convert to fraction form
    909.56/1,364.24 = 324.54/x
  3. Step 3: Cross multiply
    909.56x = 1,364.24 × 324.54
  4. Step 4: Simplify right side
    909.56x = 442,751.26
  5. Step 5: Solve for x
    x = 442,751.26/909.56
  6. Step 6: Final answer
    x = 486.77

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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.