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Finding the Fourth Proportional to 674.76, 931.41 and 422.58

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Solution

The fourth proportional to 674.76, 931.41 and 422.58 is: 583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 931.41 = 422.58 : x
  2. Step 2: Convert to fraction form
    674.76/931.41 = 422.58/x
  3. Step 3: Cross multiply
    674.76x = 931.41 × 422.58
  4. Step 4: Simplify right side
    674.76x = 393,595.24
  5. Step 5: Solve for x
    x = 393,595.24/674.76
  6. Step 6: Final answer
    x = 583.31

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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.