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Finding the Fourth Proportional to 576.19, 794.74 and 352.02

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Solution

The fourth proportional to 576.19, 794.74 and 352.02 is: 485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 794.74 = 352.02 : x
  2. Step 2: Convert to fraction form
    576.19/794.74 = 352.02/x
  3. Step 3: Cross multiply
    576.19x = 794.74 × 352.02
  4. Step 4: Simplify right side
    576.19x = 279,764.37
  5. Step 5: Solve for x
    x = 279,764.37/576.19
  6. Step 6: Final answer
    x = 485.54

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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.