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Finding the Fourth Proportional to 461.16, 690.80 and 427.41

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Solution

The fourth proportional to 461.16, 690.80 and 427.41 is: 640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 690.80 = 427.41 : x
  2. Step 2: Convert to fraction form
    461.16/690.80 = 427.41/x
  3. Step 3: Cross multiply
    461.16x = 690.80 × 427.41
  4. Step 4: Simplify right side
    461.16x = 295,252.69
  5. Step 5: Solve for x
    x = 295,252.69/461.16
  6. Step 6: Final answer
    x = 640.24

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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.