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Finding the Fourth Proportional to 671.88, 926.45 and 422.90

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Solution

The fourth proportional to 671.88, 926.45 and 422.90 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.88 : 926.45 = 422.90 : x
  2. Step 2: Convert to fraction form
    671.88/926.45 = 422.90/x
  3. Step 3: Cross multiply
    671.88x = 926.45 × 422.90
  4. Step 4: Simplify right side
    671.88x = 391,795.71
  5. Step 5: Solve for x
    x = 391,795.71/671.88
  6. Step 6: Final answer
    x = 583.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.