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Finding the Fourth Proportional to 450.69, 621.41 and 380.63

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Solution

The fourth proportional to 450.69, 621.41 and 380.63 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 621.41 = 380.63 : x
  2. Step 2: Convert to fraction form
    450.69/621.41 = 380.63/x
  3. Step 3: Cross multiply
    450.69x = 621.41 × 380.63
  4. Step 4: Simplify right side
    450.69x = 236,522.28
  5. Step 5: Solve for x
    x = 236,522.28/450.69
  6. Step 6: Final answer
    x = 524.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.