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Finding the Fourth Proportional to 336.81, 505.76 and 323.72

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Solution

The fourth proportional to 336.81, 505.76 and 323.72 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.81 : 505.76 = 323.72 : x
  2. Step 2: Convert to fraction form
    336.81/505.76 = 323.72/x
  3. Step 3: Cross multiply
    336.81x = 505.76 × 323.72
  4. Step 4: Simplify right side
    336.81x = 163,720.48
  5. Step 5: Solve for x
    x = 163,720.48/336.81
  6. Step 6: Final answer
    x = 486.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.