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Finding the Fourth Proportional to 380.90, 567.46 and 377.22

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Solution

The fourth proportional to 380.90, 567.46 and 377.22 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 567.46 = 377.22 : x
  2. Step 2: Convert to fraction form
    380.90/567.46 = 377.22/x
  3. Step 3: Cross multiply
    380.90x = 567.46 × 377.22
  4. Step 4: Simplify right side
    380.90x = 214,057.26
  5. Step 5: Solve for x
    x = 214,057.26/380.90
  6. Step 6: Final answer
    x = 561.98

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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.