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Finding the Fourth Proportional to 334.10, 499.82 and 288.94

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Solution

The fourth proportional to 334.10, 499.82 and 288.94 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 499.82 = 288.94 : x
  2. Step 2: Convert to fraction form
    334.10/499.82 = 288.94/x
  3. Step 3: Cross multiply
    334.10x = 499.82 × 288.94
  4. Step 4: Simplify right side
    334.10x = 144,414.05
  5. Step 5: Solve for x
    x = 144,414.05/334.10
  6. Step 6: Final answer
    x = 432.25

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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.