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Finding the Fourth Proportional to 623.03, 934.81 and 428.09

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Solution

The fourth proportional to 623.03, 934.81 and 428.09 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.03 : 934.81 = 428.09 : x
  2. Step 2: Convert to fraction form
    623.03/934.81 = 428.09/x
  3. Step 3: Cross multiply
    623.03x = 934.81 × 428.09
  4. Step 4: Simplify right side
    623.03x = 400,177.07
  5. Step 5: Solve for x
    x = 400,177.07/623.03
  6. Step 6: Final answer
    x = 642.31

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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.