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Finding the Fourth Proportional to 441.30, 608.28 and 416.70

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Solution

The fourth proportional to 441.30, 608.28 and 416.70 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.30 : 608.28 = 416.70 : x
  2. Step 2: Convert to fraction form
    441.30/608.28 = 416.70/x
  3. Step 3: Cross multiply
    441.30x = 608.28 × 416.70
  4. Step 4: Simplify right side
    441.30x = 253,470.28
  5. Step 5: Solve for x
    x = 253,470.28/441.30
  6. Step 6: Final answer
    x = 574.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.