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Finding the Fourth Proportional to 594.45, 818.24 and 419.49

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Solution

The fourth proportional to 594.45, 818.24 and 419.49 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 818.24 = 419.49 : x
  2. Step 2: Convert to fraction form
    594.45/818.24 = 419.49/x
  3. Step 3: Cross multiply
    594.45x = 818.24 × 419.49
  4. Step 4: Simplify right side
    594.45x = 343,241.40
  5. Step 5: Solve for x
    x = 343,241.40/594.45
  6. Step 6: Final answer
    x = 577.41

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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.