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Finding the Fourth Proportional to 619.29, 854.46 and 370.71

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Solution

The fourth proportional to 619.29, 854.46 and 370.71 is: 511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.29 : 854.46 = 370.71 : x
  2. Step 2: Convert to fraction form
    619.29/854.46 = 370.71/x
  3. Step 3: Cross multiply
    619.29x = 854.46 × 370.71
  4. Step 4: Simplify right side
    619.29x = 316,756.87
  5. Step 5: Solve for x
    x = 316,756.87/619.29
  6. Step 6: Final answer
    x = 511.48

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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.