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Finding the Fourth Proportional to 623.28, 934.02 and 257.61

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Solution

The fourth proportional to 623.28, 934.02 and 257.61 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 934.02 = 257.61 : x
  2. Step 2: Convert to fraction form
    623.28/934.02 = 257.61/x
  3. Step 3: Cross multiply
    623.28x = 934.02 × 257.61
  4. Step 4: Simplify right side
    623.28x = 240,612.89
  5. Step 5: Solve for x
    x = 240,612.89/623.28
  6. Step 6: Final answer
    x = 386.04

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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.