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Finding the Fourth Proportional to 333.45, 497.27 and 329.85

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Solution

The fourth proportional to 333.45, 497.27 and 329.85 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.45 : 497.27 = 329.85 : x
  2. Step 2: Convert to fraction form
    333.45/497.27 = 329.85/x
  3. Step 3: Cross multiply
    333.45x = 497.27 × 329.85
  4. Step 4: Simplify right side
    333.45x = 164,025.33
  5. Step 5: Solve for x
    x = 164,025.33/333.45
  6. Step 6: Final answer
    x = 491.90

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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.