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Finding the Fourth Proportional to 671.41, 926.40 and 405.88

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Solution

The fourth proportional to 671.41, 926.40 and 405.88 is: 560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.41 : 926.40 = 405.88 : x
  2. Step 2: Convert to fraction form
    671.41/926.40 = 405.88/x
  3. Step 3: Cross multiply
    671.41x = 926.40 × 405.88
  4. Step 4: Simplify right side
    671.41x = 376,007.23
  5. Step 5: Solve for x
    x = 376,007.23/671.41
  6. Step 6: Final answer
    x = 560.03

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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.