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Finding the Fourth Proportional to 569.64, 853.92 and 223.20

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Solution

The fourth proportional to 569.64, 853.92 and 223.20 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 853.92 = 223.20 : x
  2. Step 2: Convert to fraction form
    569.64/853.92 = 223.20/x
  3. Step 3: Cross multiply
    569.64x = 853.92 × 223.20
  4. Step 4: Simplify right side
    569.64x = 190,594.94
  5. Step 5: Solve for x
    x = 190,594.94/569.64
  6. Step 6: Final answer
    x = 334.59

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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.