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Finding the Fourth Proportional to 569, 853.82 and 265

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Solution

The fourth proportional to 569, 853.82 and 265 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 853.82 = 265 : x
  2. Step 2: Convert to fraction form
    569/853.82 = 265/x
  3. Step 3: Cross multiply
    569x = 853.82 × 265
  4. Step 4: Simplify right side
    569x = 226,262.30
  5. Step 5: Solve for x
    x = 226,262.30/569
  6. Step 6: Final answer
    x = 397.65

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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.