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Finding the Fourth Proportional to 417.29, 622.35 and 380.84

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Solution

The fourth proportional to 417.29, 622.35 and 380.84 is: 567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 622.35 = 380.84 : x
  2. Step 2: Convert to fraction form
    417.29/622.35 = 380.84/x
  3. Step 3: Cross multiply
    417.29x = 622.35 × 380.84
  4. Step 4: Simplify right side
    417.29x = 237,012.66
  5. Step 5: Solve for x
    x = 237,012.66/417.29
  6. Step 6: Final answer
    x = 567.99

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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.