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Finding the Fourth Proportional to 441.12, 609.36 and 419.52

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Solution

The fourth proportional to 441.12, 609.36 and 419.52 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 609.36 = 419.52 : x
  2. Step 2: Convert to fraction form
    441.12/609.36 = 419.52/x
  3. Step 3: Cross multiply
    441.12x = 609.36 × 419.52
  4. Step 4: Simplify right side
    441.12x = 255,638.71
  5. Step 5: Solve for x
    x = 255,638.71/441.12
  6. Step 6: Final answer
    x = 579.52

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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.