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Finding the Fourth Proportional to 581.22, 869.99 and 418.41

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Solution

The fourth proportional to 581.22, 869.99 and 418.41 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 869.99 = 418.41 : x
  2. Step 2: Convert to fraction form
    581.22/869.99 = 418.41/x
  3. Step 3: Cross multiply
    581.22x = 869.99 × 418.41
  4. Step 4: Simplify right side
    581.22x = 364,010.42
  5. Step 5: Solve for x
    x = 364,010.42/581.22
  6. Step 6: Final answer
    x = 626.29

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Why These Related Problems?

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