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Finding the Fourth Proportional to 565.26, 779.04 and 549.48

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Solution

The fourth proportional to 565.26, 779.04 and 549.48 is: 757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 779.04 = 549.48 : x
  2. Step 2: Convert to fraction form
    565.26/779.04 = 549.48/x
  3. Step 3: Cross multiply
    565.26x = 779.04 × 549.48
  4. Step 4: Simplify right side
    565.26x = 428,066.90
  5. Step 5: Solve for x
    x = 428,066.90/565.26
  6. Step 6: Final answer
    x = 757.29

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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.