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Finding the Fourth Proportional to 333.48, 497.76 and 329.85

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Solution

The fourth proportional to 333.48, 497.76 and 329.85 is: 492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 497.76 = 329.85 : x
  2. Step 2: Convert to fraction form
    333.48/497.76 = 329.85/x
  3. Step 3: Cross multiply
    333.48x = 497.76 × 329.85
  4. Step 4: Simplify right side
    333.48x = 164,186.14
  5. Step 5: Solve for x
    x = 164,186.14/333.48
  6. Step 6: Final answer
    x = 492.34

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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.