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Finding the Fourth Proportional to 619, 854.24 and 343

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Solution

The fourth proportional to 619, 854.24 and 343 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619 : 854.24 = 343 : x
  2. Step 2: Convert to fraction form
    619/854.24 = 343/x
  3. Step 3: Cross multiply
    619x = 854.24 × 343
  4. Step 4: Simplify right side
    619x = 293,004.32
  5. Step 5: Solve for x
    x = 293,004.32/619
  6. Step 6: Final answer
    x = 473.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.