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Finding the Fourth Proportional to 674.63, 931.35 and 454.74

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Solution

The fourth proportional to 674.63, 931.35 and 454.74 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 931.35 = 454.74 : x
  2. Step 2: Convert to fraction form
    674.63/931.35 = 454.74/x
  3. Step 3: Cross multiply
    674.63x = 931.35 × 454.74
  4. Step 4: Simplify right side
    674.63x = 423,522.10
  5. Step 5: Solve for x
    x = 423,522.10/674.63
  6. Step 6: Final answer
    x = 627.78

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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.