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Finding the Fourth Proportional to 572.39, 853.81 and 517.67

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Solution

The fourth proportional to 572.39, 853.81 and 517.67 is: 772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.39 : 853.81 = 517.67 : x
  2. Step 2: Convert to fraction form
    572.39/853.81 = 517.67/x
  3. Step 3: Cross multiply
    572.39x = 853.81 × 517.67
  4. Step 4: Simplify right side
    572.39x = 441,991.82
  5. Step 5: Solve for x
    x = 441,991.82/572.39
  6. Step 6: Final answer
    x = 772.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.