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Finding the Fourth Proportional to 594.06, 819.63 and 361.26

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Solution

The fourth proportional to 594.06, 819.63 and 361.26 is: 498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.06 : 819.63 = 361.26 : x
  2. Step 2: Convert to fraction form
    594.06/819.63 = 361.26/x
  3. Step 3: Cross multiply
    594.06x = 819.63 × 361.26
  4. Step 4: Simplify right side
    594.06x = 296,099.53
  5. Step 5: Solve for x
    x = 296,099.53/594.06
  6. Step 6: Final answer
    x = 498.43

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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.