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Finding the Fourth Proportional to 671.42, 926.34 and 409.40

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Solution

The fourth proportional to 671.42, 926.34 and 409.40 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 926.34 = 409.40 : x
  2. Step 2: Convert to fraction form
    671.42/926.34 = 409.40/x
  3. Step 3: Cross multiply
    671.42x = 926.34 × 409.40
  4. Step 4: Simplify right side
    671.42x = 379,243.60
  5. Step 5: Solve for x
    x = 379,243.60/671.42
  6. Step 6: Final answer
    x = 564.84

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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.