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Finding the Fourth Proportional to 569.34, 853.94 and 199.08

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Solution

The fourth proportional to 569.34, 853.94 and 199.08 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 853.94 = 199.08 : x
  2. Step 2: Convert to fraction form
    569.34/853.94 = 199.08/x
  3. Step 3: Cross multiply
    569.34x = 853.94 × 199.08
  4. Step 4: Simplify right side
    569.34x = 170,002.38
  5. Step 5: Solve for x
    x = 170,002.38/569.34
  6. Step 6: Final answer
    x = 298.60

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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.