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Finding the Fourth Proportional to 565.89, 779.73 and 418.26

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Solution

The fourth proportional to 565.89, 779.73 and 418.26 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 779.73 = 418.26 : x
  2. Step 2: Convert to fraction form
    565.89/779.73 = 418.26/x
  3. Step 3: Cross multiply
    565.89x = 779.73 × 418.26
  4. Step 4: Simplify right side
    565.89x = 326,131.23
  5. Step 5: Solve for x
    x = 326,131.23/565.89
  6. Step 6: Final answer
    x = 576.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.