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Finding the Fourth Proportional to 619.10, 853.54 and 518.21

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Solution

The fourth proportional to 619.10, 853.54 and 518.21 is: 714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.10 : 853.54 = 518.21 : x
  2. Step 2: Convert to fraction form
    619.10/853.54 = 518.21/x
  3. Step 3: Cross multiply
    619.10x = 853.54 × 518.21
  4. Step 4: Simplify right side
    619.10x = 442,307.40
  5. Step 5: Solve for x
    x = 442,307.40/619.10
  6. Step 6: Final answer
    x = 714.44

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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.