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Finding the Fourth Proportional to 379.98, 570.06 and 123.48

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Solution

The fourth proportional to 379.98, 570.06 and 123.48 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 570.06 = 123.48 : x
  2. Step 2: Convert to fraction form
    379.98/570.06 = 123.48/x
  3. Step 3: Cross multiply
    379.98x = 570.06 × 123.48
  4. Step 4: Simplify right side
    379.98x = 70,391.01
  5. Step 5: Solve for x
    x = 70,391.01/379.98
  6. Step 6: Final answer
    x = 185.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.