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Finding the Fourth Proportional to 329.48, 455.96 and 264.68

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Solution

The fourth proportional to 329.48, 455.96 and 264.68 is: 366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 455.96 = 264.68 : x
  2. Step 2: Convert to fraction form
    329.48/455.96 = 264.68/x
  3. Step 3: Cross multiply
    329.48x = 455.96 × 264.68
  4. Step 4: Simplify right side
    329.48x = 120,683.49
  5. Step 5: Solve for x
    x = 120,683.49/329.48
  6. Step 6: Final answer
    x = 366.28

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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.