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Finding the Fourth Proportional to 578.41, 798.18 and 316.42

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Solution

The fourth proportional to 578.41, 798.18 and 316.42 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 798.18 = 316.42 : x
  2. Step 2: Convert to fraction form
    578.41/798.18 = 316.42/x
  3. Step 3: Cross multiply
    578.41x = 798.18 × 316.42
  4. Step 4: Simplify right side
    578.41x = 252,556.93
  5. Step 5: Solve for x
    x = 252,556.93/578.41
  6. Step 6: Final answer
    x = 436.64

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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.