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Finding the Fourth Proportional to 416.20, 623.70 and 379.75

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Solution

The fourth proportional to 416.20, 623.70 and 379.75 is: 569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.20 : 623.70 = 379.75 : x
  2. Step 2: Convert to fraction form
    416.20/623.70 = 379.75/x
  3. Step 3: Cross multiply
    416.20x = 623.70 × 379.75
  4. Step 4: Simplify right side
    416.20x = 236,850.08
  5. Step 5: Solve for x
    x = 236,850.08/416.20
  6. Step 6: Final answer
    x = 569.08

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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.