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Finding the Fourth Proportional to 512.21, 766.06 and 457.81

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Solution

The fourth proportional to 512.21, 766.06 and 457.81 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.21 : 766.06 = 457.81 : x
  2. Step 2: Convert to fraction form
    512.21/766.06 = 457.81/x
  3. Step 3: Cross multiply
    512.21x = 766.06 × 457.81
  4. Step 4: Simplify right side
    512.21x = 350,706.87
  5. Step 5: Solve for x
    x = 350,706.87/512.21
  6. Step 6: Final answer
    x = 684.69

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Why These Related Problems?

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