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Finding the Fourth Proportional to 377.76, 565.34 and 262.33

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Solution

The fourth proportional to 377.76, 565.34 and 262.33 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 565.34 = 262.33 : x
  2. Step 2: Convert to fraction form
    377.76/565.34 = 262.33/x
  3. Step 3: Cross multiply
    377.76x = 565.34 × 262.33
  4. Step 4: Simplify right side
    377.76x = 148,305.31
  5. Step 5: Solve for x
    x = 148,305.31/377.76
  6. Step 6: Final answer
    x = 392.60

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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.