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Finding the Fourth Proportional to 416.10, 626.61 and 391.80

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Solution

The fourth proportional to 416.10, 626.61 and 391.80 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 626.61 = 391.80 : x
  2. Step 2: Convert to fraction form
    416.10/626.61 = 391.80/x
  3. Step 3: Cross multiply
    416.10x = 626.61 × 391.80
  4. Step 4: Simplify right side
    416.10x = 245,505.80
  5. Step 5: Solve for x
    x = 245,505.80/416.10
  6. Step 6: Final answer
    x = 590.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.