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Finding the Fourth Proportional to 623.25, 934.64 and 257.79

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Solution

The fourth proportional to 623.25, 934.64 and 257.79 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.25 : 934.64 = 257.79 : x
  2. Step 2: Convert to fraction form
    623.25/934.64 = 257.79/x
  3. Step 3: Cross multiply
    623.25x = 934.64 × 257.79
  4. Step 4: Simplify right side
    623.25x = 240,939.56
  5. Step 5: Solve for x
    x = 240,939.56/623.25
  6. Step 6: Final answer
    x = 386.59

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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.