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Finding the Fourth Proportional to 578.10, 797.54 and 378.98

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Solution

The fourth proportional to 578.10, 797.54 and 378.98 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 797.54 = 378.98 : x
  2. Step 2: Convert to fraction form
    578.10/797.54 = 378.98/x
  3. Step 3: Cross multiply
    578.10x = 797.54 × 378.98
  4. Step 4: Simplify right side
    578.10x = 302,251.73
  5. Step 5: Solve for x
    x = 302,251.73/578.10
  6. Step 6: Final answer
    x = 522.83

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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.