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Finding the Fourth Proportional to 594.36, 820.44 and 419.88

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Solution

The fourth proportional to 594.36, 820.44 and 419.88 is: 579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.36 : 820.44 = 419.88 : x
  2. Step 2: Convert to fraction form
    594.36/820.44 = 419.88/x
  3. Step 3: Cross multiply
    594.36x = 820.44 × 419.88
  4. Step 4: Simplify right side
    594.36x = 344,486.35
  5. Step 5: Solve for x
    x = 344,486.35/594.36
  6. Step 6: Final answer
    x = 579.59

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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.