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Finding the Fourth Proportional to 581.44, 869.98 and 550.18

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Solution

The fourth proportional to 581.44, 869.98 and 550.18 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.44 : 869.98 = 550.18 : x
  2. Step 2: Convert to fraction form
    581.44/869.98 = 550.18/x
  3. Step 3: Cross multiply
    581.44x = 869.98 × 550.18
  4. Step 4: Simplify right side
    581.44x = 478,645.60
  5. Step 5: Solve for x
    x = 478,645.60/581.44
  6. Step 6: Final answer
    x = 823.21

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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.