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Finding the Fourth Proportional to 578.14, 797.98 and 357.27

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Solution

The fourth proportional to 578.14, 797.98 and 357.27 is: 493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 797.98 = 357.27 : x
  2. Step 2: Convert to fraction form
    578.14/797.98 = 357.27/x
  3. Step 3: Cross multiply
    578.14x = 797.98 × 357.27
  4. Step 4: Simplify right side
    578.14x = 285,094.31
  5. Step 5: Solve for x
    x = 285,094.31/578.14
  6. Step 6: Final answer
    x = 493.12

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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.