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Finding the Fourth Proportional to 565.98, 849.50 and 292.27

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Solution

The fourth proportional to 565.98, 849.50 and 292.27 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.98 : 849.50 = 292.27 : x
  2. Step 2: Convert to fraction form
    565.98/849.50 = 292.27/x
  3. Step 3: Cross multiply
    565.98x = 849.50 × 292.27
  4. Step 4: Simplify right side
    565.98x = 248,283.37
  5. Step 5: Solve for x
    x = 248,283.37/565.98
  6. Step 6: Final answer
    x = 438.68

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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.