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Finding the Fourth Proportional to 601.19, 829.52 and 379.98

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Solution

The fourth proportional to 601.19, 829.52 and 379.98 is: 524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.19 : 829.52 = 379.98 : x
  2. Step 2: Convert to fraction form
    601.19/829.52 = 379.98/x
  3. Step 3: Cross multiply
    601.19x = 829.52 × 379.98
  4. Step 4: Simplify right side
    601.19x = 315,201.96
  5. Step 5: Solve for x
    x = 315,201.96/601.19
  6. Step 6: Final answer
    x = 524.30

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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.