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Finding the Fourth Proportional to 334.12, 498.56 and 299.50

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Solution

The fourth proportional to 334.12, 498.56 and 299.50 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.12 : 498.56 = 299.50 : x
  2. Step 2: Convert to fraction form
    334.12/498.56 = 299.50/x
  3. Step 3: Cross multiply
    334.12x = 498.56 × 299.50
  4. Step 4: Simplify right side
    334.12x = 149,318.72
  5. Step 5: Solve for x
    x = 149,318.72/334.12
  6. Step 6: Final answer
    x = 446.90

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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.