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Finding the Fourth Proportional to 377.81, 563.84 and 368.09

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Solution

The fourth proportional to 377.81, 563.84 and 368.09 is: 549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.81 : 563.84 = 368.09 : x
  2. Step 2: Convert to fraction form
    377.81/563.84 = 368.09/x
  3. Step 3: Cross multiply
    377.81x = 563.84 × 368.09
  4. Step 4: Simplify right side
    377.81x = 207,539.21
  5. Step 5: Solve for x
    x = 207,539.21/377.81
  6. Step 6: Final answer
    x = 549.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.