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Finding the Fourth Proportional to 564.63, 779.27 and 409.65

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Solution

The fourth proportional to 564.63, 779.27 and 409.65 is: 565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.63 : 779.27 = 409.65 : x
  2. Step 2: Convert to fraction form
    564.63/779.27 = 409.65/x
  3. Step 3: Cross multiply
    564.63x = 779.27 × 409.65
  4. Step 4: Simplify right side
    564.63x = 319,227.96
  5. Step 5: Solve for x
    x = 319,227.96/564.63
  6. Step 6: Final answer
    x = 565.38

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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.