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Finding the Fourth Proportional to 403.85, 604.52 and 377.21

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Solution

The fourth proportional to 403.85, 604.52 and 377.21 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.85 : 604.52 = 377.21 : x
  2. Step 2: Convert to fraction form
    403.85/604.52 = 377.21/x
  3. Step 3: Cross multiply
    403.85x = 604.52 × 377.21
  4. Step 4: Simplify right side
    403.85x = 228,029.10
  5. Step 5: Solve for x
    x = 228,029.10/403.85
  6. Step 6: Final answer
    x = 564.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.