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Finding the Fourth Proportional to 334.84, 499.49 and 295.96

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Solution

The fourth proportional to 334.84, 499.49 and 295.96 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 499.49 = 295.96 : x
  2. Step 2: Convert to fraction form
    334.84/499.49 = 295.96/x
  3. Step 3: Cross multiply
    334.84x = 499.49 × 295.96
  4. Step 4: Simplify right side
    334.84x = 147,829.06
  5. Step 5: Solve for x
    x = 147,829.06/334.84
  6. Step 6: Final answer
    x = 441.49

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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.