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Finding the Fourth Proportional to 343.64, 511.07 and 339.99

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Solution

The fourth proportional to 343.64, 511.07 and 339.99 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 511.07 = 339.99 : x
  2. Step 2: Convert to fraction form
    343.64/511.07 = 339.99/x
  3. Step 3: Cross multiply
    343.64x = 511.07 × 339.99
  4. Step 4: Simplify right side
    343.64x = 173,759.54
  5. Step 5: Solve for x
    x = 173,759.54/343.64
  6. Step 6: Final answer
    x = 505.65

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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.