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Finding the Fourth Proportional to 619.16, 854.42 and 343.16

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Solution

The fourth proportional to 619.16, 854.42 and 343.16 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.16 : 854.42 = 343.16 : x
  2. Step 2: Convert to fraction form
    619.16/854.42 = 343.16/x
  3. Step 3: Cross multiply
    619.16x = 854.42 × 343.16
  4. Step 4: Simplify right side
    619.16x = 293,202.77
  5. Step 5: Solve for x
    x = 293,202.77/619.16
  6. Step 6: Final answer
    x = 473.55

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