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Finding the Fourth Proportional to 351.36, 524.16 and 329.76

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Solution

The fourth proportional to 351.36, 524.16 and 329.76 is: 491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.36 : 524.16 = 329.76 : x
  2. Step 2: Convert to fraction form
    351.36/524.16 = 329.76/x
  3. Step 3: Cross multiply
    351.36x = 524.16 × 329.76
  4. Step 4: Simplify right side
    351.36x = 172,847.00
  5. Step 5: Solve for x
    x = 172,847.00/351.36
  6. Step 6: Final answer
    x = 491.94

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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.