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Finding the Fourth Proportional to 619.49, 854.58 and 409.44

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Solution

The fourth proportional to 619.49, 854.58 and 409.44 is: 564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.49 : 854.58 = 409.44 : x
  2. Step 2: Convert to fraction form
    619.49/854.58 = 409.44/x
  3. Step 3: Cross multiply
    619.49x = 854.58 × 409.44
  4. Step 4: Simplify right side
    619.49x = 349,899.24
  5. Step 5: Solve for x
    x = 349,899.24/619.49
  6. Step 6: Final answer
    x = 564.82

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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.