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Finding the Fourth Proportional to 569.45, 853.38 and 294.86

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Solution

The fourth proportional to 569.45, 853.38 and 294.86 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 853.38 = 294.86 : x
  2. Step 2: Convert to fraction form
    569.45/853.38 = 294.86/x
  3. Step 3: Cross multiply
    569.45x = 853.38 × 294.86
  4. Step 4: Simplify right side
    569.45x = 251,627.63
  5. Step 5: Solve for x
    x = 251,627.63/569.45
  6. Step 6: Final answer
    x = 441.88

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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.