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Finding the Fourth Proportional to 565.12, 779.22 and 495.04

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Solution

The fourth proportional to 565.12, 779.22 and 495.04 is: 682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 779.22 = 495.04 : x
  2. Step 2: Convert to fraction form
    565.12/779.22 = 495.04/x
  3. Step 3: Cross multiply
    565.12x = 779.22 × 495.04
  4. Step 4: Simplify right side
    565.12x = 385,745.07
  5. Step 5: Solve for x
    x = 385,745.07/565.12
  6. Step 6: Final answer
    x = 682.59

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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.