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Finding the Fourth Proportional to 416.20, 623.40 and 370.60

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Solution

The fourth proportional to 416.20, 623.40 and 370.60 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.20 : 623.40 = 370.60 : x
  2. Step 2: Convert to fraction form
    416.20/623.40 = 370.60/x
  3. Step 3: Cross multiply
    416.20x = 623.40 × 370.60
  4. Step 4: Simplify right side
    416.20x = 231,032.04
  5. Step 5: Solve for x
    x = 231,032.04/416.20
  6. Step 6: Final answer
    x = 555.10

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Why These Related Problems?

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