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Finding the Fourth Proportional to 578.35, 798.08 and 357.22

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Solution

The fourth proportional to 578.35, 798.08 and 357.22 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.35 : 798.08 = 357.22 : x
  2. Step 2: Convert to fraction form
    578.35/798.08 = 357.22/x
  3. Step 3: Cross multiply
    578.35x = 798.08 × 357.22
  4. Step 4: Simplify right side
    578.35x = 285,093.74
  5. Step 5: Solve for x
    x = 285,093.74/578.35
  6. Step 6: Final answer
    x = 492.94

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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.