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Finding the Fourth Proportional to 578.30, 797.82 and 357.02

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Solution

The fourth proportional to 578.30, 797.82 and 357.02 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 797.82 = 357.02 : x
  2. Step 2: Convert to fraction form
    578.30/797.82 = 357.02/x
  3. Step 3: Cross multiply
    578.30x = 797.82 × 357.02
  4. Step 4: Simplify right side
    578.30x = 284,837.70
  5. Step 5: Solve for x
    x = 284,837.70/578.30
  6. Step 6: Final answer
    x = 492.54

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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.