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Finding the Fourth Proportional to 343.71, 513.41 and 289.04

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Solution

The fourth proportional to 343.71, 513.41 and 289.04 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 513.41 = 289.04 : x
  2. Step 2: Convert to fraction form
    343.71/513.41 = 289.04/x
  3. Step 3: Cross multiply
    343.71x = 513.41 × 289.04
  4. Step 4: Simplify right side
    343.71x = 148,392.01
  5. Step 5: Solve for x
    x = 148,392.01/343.71
  6. Step 6: Final answer
    x = 431.74

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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.