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Finding the Fourth Proportional to 565.97, 849.74 and 292.26

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Solution

The fourth proportional to 565.97, 849.74 and 292.26 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 849.74 = 292.26 : x
  2. Step 2: Convert to fraction form
    565.97/849.74 = 292.26/x
  3. Step 3: Cross multiply
    565.97x = 849.74 × 292.26
  4. Step 4: Simplify right side
    565.97x = 248,343.55
  5. Step 5: Solve for x
    x = 248,343.55/565.97
  6. Step 6: Final answer
    x = 438.80

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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.