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Finding the Fourth Proportional to 569.35, 853.57 and 326.05

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Solution

The fourth proportional to 569.35, 853.57 and 326.05 is: 488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.35 : 853.57 = 326.05 : x
  2. Step 2: Convert to fraction form
    569.35/853.57 = 326.05/x
  3. Step 3: Cross multiply
    569.35x = 853.57 × 326.05
  4. Step 4: Simplify right side
    569.35x = 278,304.77
  5. Step 5: Solve for x
    x = 278,304.77/569.35
  6. Step 6: Final answer
    x = 488.81

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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.