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Finding the Fourth Proportional to 671.75, 927.42 and 435.80

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Solution

The fourth proportional to 671.75, 927.42 and 435.80 is: 601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.75 : 927.42 = 435.80 : x
  2. Step 2: Convert to fraction form
    671.75/927.42 = 435.80/x
  3. Step 3: Cross multiply
    671.75x = 927.42 × 435.80
  4. Step 4: Simplify right side
    671.75x = 404,169.64
  5. Step 5: Solve for x
    x = 404,169.64/671.75
  6. Step 6: Final answer
    x = 601.67

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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.