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Finding the Fourth Proportional to 623.10, 934.74 and 190.38

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Solution

The fourth proportional to 623.10, 934.74 and 190.38 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 934.74 = 190.38 : x
  2. Step 2: Convert to fraction form
    623.10/934.74 = 190.38/x
  3. Step 3: Cross multiply
    623.10x = 934.74 × 190.38
  4. Step 4: Simplify right side
    623.10x = 177,955.80
  5. Step 5: Solve for x
    x = 177,955.80/623.10
  6. Step 6: Final answer
    x = 285.60

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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.