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Finding the Fourth Proportional to 627.67, 939.46 and 463.07

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Solution

The fourth proportional to 627.67, 939.46 and 463.07 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 939.46 = 463.07 : x
  2. Step 2: Convert to fraction form
    627.67/939.46 = 463.07/x
  3. Step 3: Cross multiply
    627.67x = 939.46 × 463.07
  4. Step 4: Simplify right side
    627.67x = 435,035.74
  5. Step 5: Solve for x
    x = 435,035.74/627.67
  6. Step 6: Final answer
    x = 693.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.