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Finding the Fourth Proportional to 601.21, 828.48 and 512.41

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Solution

The fourth proportional to 601.21, 828.48 and 512.41 is: 706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 828.48 = 512.41 : x
  2. Step 2: Convert to fraction form
    601.21/828.48 = 512.41/x
  3. Step 3: Cross multiply
    601.21x = 828.48 × 512.41
  4. Step 4: Simplify right side
    601.21x = 424,521.44
  5. Step 5: Solve for x
    x = 424,521.44/601.21
  6. Step 6: Final answer
    x = 706.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.