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Finding the Fourth Proportional to 627.53, 940.05 and 410.45

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Solution

The fourth proportional to 627.53, 940.05 and 410.45 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.53 : 940.05 = 410.45 : x
  2. Step 2: Convert to fraction form
    627.53/940.05 = 410.45/x
  3. Step 3: Cross multiply
    627.53x = 940.05 × 410.45
  4. Step 4: Simplify right side
    627.53x = 385,838.82
  5. Step 5: Solve for x
    x = 385,838.82/627.53
  6. Step 6: Final answer
    x = 614.86

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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.