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Finding the Fourth Proportional to 594.06, 819.84 and 417.25

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Solution

The fourth proportional to 594.06, 819.84 and 417.25 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.06 : 819.84 = 417.25 : x
  2. Step 2: Convert to fraction form
    594.06/819.84 = 417.25/x
  3. Step 3: Cross multiply
    594.06x = 819.84 × 417.25
  4. Step 4: Simplify right side
    594.06x = 342,078.24
  5. Step 5: Solve for x
    x = 342,078.24/594.06
  6. Step 6: Final answer
    x = 575.83

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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.