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Finding the Fourth Proportional to 441.60, 608.40 and 419.04

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Solution

The fourth proportional to 441.60, 608.40 and 419.04 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 608.40 = 419.04 : x
  2. Step 2: Convert to fraction form
    441.60/608.40 = 419.04/x
  3. Step 3: Cross multiply
    441.60x = 608.40 × 419.04
  4. Step 4: Simplify right side
    441.60x = 254,943.94
  5. Step 5: Solve for x
    x = 254,943.94/441.60
  6. Step 6: Final answer
    x = 577.32

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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.