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Finding the Fourth Proportional to 336, 462.69 and 334.98

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Solution

The fourth proportional to 336, 462.69 and 334.98 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 462.69 = 334.98 : x
  2. Step 2: Convert to fraction form
    336/462.69 = 334.98/x
  3. Step 3: Cross multiply
    336x = 462.69 × 334.98
  4. Step 4: Simplify right side
    336x = 154,991.90
  5. Step 5: Solve for x
    x = 154,991.90/336
  6. Step 6: Final answer
    x = 461.29

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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.