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Finding the Fourth Proportional to 623.27, 934.68 and 257.96

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Solution

The fourth proportional to 623.27, 934.68 and 257.96 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.27 : 934.68 = 257.96 : x
  2. Step 2: Convert to fraction form
    623.27/934.68 = 257.96/x
  3. Step 3: Cross multiply
    623.27x = 934.68 × 257.96
  4. Step 4: Simplify right side
    623.27x = 241,105.38
  5. Step 5: Solve for x
    x = 241,105.38/623.27
  6. Step 6: Final answer
    x = 386.84

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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.