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Finding the Fourth Proportional to 336.16, 462.96 and 329

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Solution

The fourth proportional to 336.16, 462.96 and 329 is: 453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.16 : 462.96 = 329 : x
  2. Step 2: Convert to fraction form
    336.16/462.96 = 329/x
  3. Step 3: Cross multiply
    336.16x = 462.96 × 329
  4. Step 4: Simplify right side
    336.16x = 152,313.84
  5. Step 5: Solve for x
    x = 152,313.84/336.16
  6. Step 6: Final answer
    x = 453.10

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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.