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Finding the Fourth Proportional to 594.22, 819.23 and 416.94

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Solution

The fourth proportional to 594.22, 819.23 and 416.94 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.22 : 819.23 = 416.94 : x
  2. Step 2: Convert to fraction form
    594.22/819.23 = 416.94/x
  3. Step 3: Cross multiply
    594.22x = 819.23 × 416.94
  4. Step 4: Simplify right side
    594.22x = 341,567.67
  5. Step 5: Solve for x
    x = 341,567.67/594.22
  6. Step 6: Final answer
    x = 574.82

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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.