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Finding the Fourth Proportional to 377.93, 565.99 and 262.06

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Solution

The fourth proportional to 377.93, 565.99 and 262.06 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.93 : 565.99 = 262.06 : x
  2. Step 2: Convert to fraction form
    377.93/565.99 = 262.06/x
  3. Step 3: Cross multiply
    377.93x = 565.99 × 262.06
  4. Step 4: Simplify right side
    377.93x = 148,321.27
  5. Step 5: Solve for x
    x = 148,321.27/377.93
  6. Step 6: Final answer
    x = 392.45

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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.