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Finding the Fourth Proportional to 569.22, 853.15 and 438.81

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Solution

The fourth proportional to 569.22, 853.15 and 438.81 is: 657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.22 : 853.15 = 438.81 : x
  2. Step 2: Convert to fraction form
    569.22/853.15 = 438.81/x
  3. Step 3: Cross multiply
    569.22x = 853.15 × 438.81
  4. Step 4: Simplify right side
    569.22x = 374,370.75
  5. Step 5: Solve for x
    x = 374,370.75/569.22
  6. Step 6: Final answer
    x = 657.69

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