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Finding the Fourth Proportional to 578.75, 798.35 and 357.55

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Solution

The fourth proportional to 578.75, 798.35 and 357.55 is: 493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 798.35 = 357.55 : x
  2. Step 2: Convert to fraction form
    578.75/798.35 = 357.55/x
  3. Step 3: Cross multiply
    578.75x = 798.35 × 357.55
  4. Step 4: Simplify right side
    578.75x = 285,446.26
  5. Step 5: Solve for x
    x = 285,446.26/578.75
  6. Step 6: Final answer
    x = 493.22

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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.