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Finding the Fourth Proportional to 578.24, 797.70 and 357.20

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Solution

The fourth proportional to 578.24, 797.70 and 357.20 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 797.70 = 357.20 : x
  2. Step 2: Convert to fraction form
    578.24/797.70 = 357.20/x
  3. Step 3: Cross multiply
    578.24x = 797.70 × 357.20
  4. Step 4: Simplify right side
    578.24x = 284,938.44
  5. Step 5: Solve for x
    x = 284,938.44/578.24
  6. Step 6: Final answer
    x = 492.77

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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.