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Finding the Fourth Proportional to 569.77, 853.99 and 277.42

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Solution

The fourth proportional to 569.77, 853.99 and 277.42 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 853.99 = 277.42 : x
  2. Step 2: Convert to fraction form
    569.77/853.99 = 277.42/x
  3. Step 3: Cross multiply
    569.77x = 853.99 × 277.42
  4. Step 4: Simplify right side
    569.77x = 236,913.91
  5. Step 5: Solve for x
    x = 236,913.91/569.77
  6. Step 6: Final answer
    x = 415.81

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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.