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Finding the Fourth Proportional to 619.50, 854.94 and 343.50

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Solution

The fourth proportional to 619.50, 854.94 and 343.50 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.50 : 854.94 = 343.50 : x
  2. Step 2: Convert to fraction form
    619.50/854.94 = 343.50/x
  3. Step 3: Cross multiply
    619.50x = 854.94 × 343.50
  4. Step 4: Simplify right side
    619.50x = 293,671.89
  5. Step 5: Solve for x
    x = 293,671.89/619.50
  6. Step 6: Final answer
    x = 474.05

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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.