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Finding the Fourth Proportional to 418.18, 625.91 and 378.26

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Solution

The fourth proportional to 418.18, 625.91 and 378.26 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.18 : 625.91 = 378.26 : x
  2. Step 2: Convert to fraction form
    418.18/625.91 = 378.26/x
  3. Step 3: Cross multiply
    418.18x = 625.91 × 378.26
  4. Step 4: Simplify right side
    418.18x = 236,756.72
  5. Step 5: Solve for x
    x = 236,756.72/418.18
  6. Step 6: Final answer
    x = 566.16

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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.