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Finding the Fourth Proportional to 581.35, 872.16 and 517.09

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Solution

The fourth proportional to 581.35, 872.16 and 517.09 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.35 : 872.16 = 517.09 : x
  2. Step 2: Convert to fraction form
    581.35/872.16 = 517.09/x
  3. Step 3: Cross multiply
    581.35x = 872.16 × 517.09
  4. Step 4: Simplify right side
    581.35x = 450,985.21
  5. Step 5: Solve for x
    x = 450,985.21/581.35
  6. Step 6: Final answer
    x = 775.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.