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Finding the Fourth Proportional to 377.34, 564.73 and 269.82

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Solution

The fourth proportional to 377.34, 564.73 and 269.82 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.34 : 564.73 = 269.82 : x
  2. Step 2: Convert to fraction form
    377.34/564.73 = 269.82/x
  3. Step 3: Cross multiply
    377.34x = 564.73 × 269.82
  4. Step 4: Simplify right side
    377.34x = 152,376.19
  5. Step 5: Solve for x
    x = 152,376.19/377.34
  6. Step 6: Final answer
    x = 403.82

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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.