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Finding the Fourth Proportional to 594.05, 819.41 and 428.00

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Solution

The fourth proportional to 594.05, 819.41 and 428.00 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.05 : 819.41 = 428.00 : x
  2. Step 2: Convert to fraction form
    594.05/819.41 = 428.00/x
  3. Step 3: Cross multiply
    594.05x = 819.41 × 428.00
  4. Step 4: Simplify right side
    594.05x = 350,703.38
  5. Step 5: Solve for x
    x = 350,703.38/594.05
  6. Step 6: Final answer
    x = 590.37

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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.