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Finding the Fourth Proportional to 569.09, 853.63 and 314.21

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Solution

The fourth proportional to 569.09, 853.63 and 314.21 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.09 : 853.63 = 314.21 : x
  2. Step 2: Convert to fraction form
    569.09/853.63 = 314.21/x
  3. Step 3: Cross multiply
    569.09x = 853.63 × 314.21
  4. Step 4: Simplify right side
    569.09x = 268,214.03
  5. Step 5: Solve for x
    x = 268,214.03/569.09
  6. Step 6: Final answer
    x = 471.31

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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.