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Finding the Fourth Proportional to 623.28, 934.82 and 257.97

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Solution

The fourth proportional to 623.28, 934.82 and 257.97 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 934.82 = 257.97 : x
  2. Step 2: Convert to fraction form
    623.28/934.82 = 257.97/x
  3. Step 3: Cross multiply
    623.28x = 934.82 × 257.97
  4. Step 4: Simplify right side
    623.28x = 241,155.52
  5. Step 5: Solve for x
    x = 241,155.52/623.28
  6. Step 6: Final answer
    x = 386.91

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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.