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Finding the Fourth Proportional to 569, 853.26 and 244.18

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Solution

The fourth proportional to 569, 853.26 and 244.18 is: 366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 853.26 = 244.18 : x
  2. Step 2: Convert to fraction form
    569/853.26 = 244.18/x
  3. Step 3: Cross multiply
    569x = 853.26 × 244.18
  4. Step 4: Simplify right side
    569x = 208,349.03
  5. Step 5: Solve for x
    x = 208,349.03/569
  6. Step 6: Final answer
    x = 366.17

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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.