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Finding the Fourth Proportional to 578.67, 798.28 and 357.54

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Solution

The fourth proportional to 578.67, 798.28 and 357.54 is: 493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 798.28 = 357.54 : x
  2. Step 2: Convert to fraction form
    578.67/798.28 = 357.54/x
  3. Step 3: Cross multiply
    578.67x = 798.28 × 357.54
  4. Step 4: Simplify right side
    578.67x = 285,417.03
  5. Step 5: Solve for x
    x = 285,417.03/578.67
  6. Step 6: Final answer
    x = 493.23

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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.