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Finding the Fourth Proportional to 594.04, 819.81 and 345.37

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Solution

The fourth proportional to 594.04, 819.81 and 345.37 is: 476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.04 : 819.81 = 345.37 : x
  2. Step 2: Convert to fraction form
    594.04/819.81 = 345.37/x
  3. Step 3: Cross multiply
    594.04x = 819.81 × 345.37
  4. Step 4: Simplify right side
    594.04x = 283,137.78
  5. Step 5: Solve for x
    x = 283,137.78/594.04
  6. Step 6: Final answer
    x = 476.63

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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.