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Finding the Fourth Proportional to 569.18, 853.34 and 260.87

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Solution

The fourth proportional to 569.18, 853.34 and 260.87 is: 391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 853.34 = 260.87 : x
  2. Step 2: Convert to fraction form
    569.18/853.34 = 260.87/x
  3. Step 3: Cross multiply
    569.18x = 853.34 × 260.87
  4. Step 4: Simplify right side
    569.18x = 222,605.23
  5. Step 5: Solve for x
    x = 222,605.23/569.18
  6. Step 6: Final answer
    x = 391.10

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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.