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Finding the Fourth Proportional to 336.16, 501.62 and 299.84

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Solution

The fourth proportional to 336.16, 501.62 and 299.84 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.16 : 501.62 = 299.84 : x
  2. Step 2: Convert to fraction form
    336.16/501.62 = 299.84/x
  3. Step 3: Cross multiply
    336.16x = 501.62 × 299.84
  4. Step 4: Simplify right side
    336.16x = 150,405.74
  5. Step 5: Solve for x
    x = 150,405.74/336.16
  6. Step 6: Final answer
    x = 447.42

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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.