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Finding the Fourth Proportional to 623.58, 935.33 and 190.74

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Solution

The fourth proportional to 623.58, 935.33 and 190.74 is: 286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.58 : 935.33 = 190.74 : x
  2. Step 2: Convert to fraction form
    623.58/935.33 = 190.74/x
  3. Step 3: Cross multiply
    623.58x = 935.33 × 190.74
  4. Step 4: Simplify right side
    623.58x = 178,401.38
  5. Step 5: Solve for x
    x = 178,401.38/623.58
  6. Step 6: Final answer
    x = 286.09

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Why These Related Problems?

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