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Finding the Fourth Proportional to 569.36, 853.52 and 256.79

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Solution

The fourth proportional to 569.36, 853.52 and 256.79 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 853.52 = 256.79 : x
  2. Step 2: Convert to fraction form
    569.36/853.52 = 256.79/x
  3. Step 3: Cross multiply
    569.36x = 853.52 × 256.79
  4. Step 4: Simplify right side
    569.36x = 219,169.85
  5. Step 5: Solve for x
    x = 219,169.85/569.36
  6. Step 6: Final answer
    x = 384.94

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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.