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Finding the Fourth Proportional to 627.93, 939.95 and 463.59

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Solution

The fourth proportional to 627.93, 939.95 and 463.59 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 939.95 = 463.59 : x
  2. Step 2: Convert to fraction form
    627.93/939.95 = 463.59/x
  3. Step 3: Cross multiply
    627.93x = 939.95 × 463.59
  4. Step 4: Simplify right side
    627.93x = 435,751.42
  5. Step 5: Solve for x
    x = 435,751.42/627.93
  6. Step 6: Final answer
    x = 693.95

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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.