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Finding the Fourth Proportional to 671.61, 926.58 and 422.95

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Solution

The fourth proportional to 671.61, 926.58 and 422.95 is: 583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.61 : 926.58 = 422.95 : x
  2. Step 2: Convert to fraction form
    671.61/926.58 = 422.95/x
  3. Step 3: Cross multiply
    671.61x = 926.58 × 422.95
  4. Step 4: Simplify right side
    671.61x = 391,893.44
  5. Step 5: Solve for x
    x = 391,893.44/671.61
  6. Step 6: Final answer
    x = 583.51

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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.