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Finding the Fourth Proportional to 329.66, 492.25 and 295.03

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Solution

The fourth proportional to 329.66, 492.25 and 295.03 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.66 : 492.25 = 295.03 : x
  2. Step 2: Convert to fraction form
    329.66/492.25 = 295.03/x
  3. Step 3: Cross multiply
    329.66x = 492.25 × 295.03
  4. Step 4: Simplify right side
    329.66x = 145,228.52
  5. Step 5: Solve for x
    x = 145,228.52/329.66
  6. Step 6: Final answer
    x = 440.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.