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Finding the Fourth Proportional to 622.84, 934.44 and 257.44

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Solution

The fourth proportional to 622.84, 934.44 and 257.44 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.84 : 934.44 = 257.44 : x
  2. Step 2: Convert to fraction form
    622.84/934.44 = 257.44/x
  3. Step 3: Cross multiply
    622.84x = 934.44 × 257.44
  4. Step 4: Simplify right side
    622.84x = 240,562.23
  5. Step 5: Solve for x
    x = 240,562.23/622.84
  6. Step 6: Final answer
    x = 386.23

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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.