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Finding the Fourth Proportional to 336.56, 463.37 and 299.04

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Solution

The fourth proportional to 336.56, 463.37 and 299.04 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.56 : 463.37 = 299.04 : x
  2. Step 2: Convert to fraction form
    336.56/463.37 = 299.04/x
  3. Step 3: Cross multiply
    336.56x = 463.37 × 299.04
  4. Step 4: Simplify right side
    336.56x = 138,567.22
  5. Step 5: Solve for x
    x = 138,567.22/336.56
  6. Step 6: Final answer
    x = 411.72

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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.