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Finding the Fourth Proportional to 693.78, 957.40 and 379.03

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Solution

The fourth proportional to 693.78, 957.40 and 379.03 is: 523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.78 : 957.40 = 379.03 : x
  2. Step 2: Convert to fraction form
    693.78/957.40 = 379.03/x
  3. Step 3: Cross multiply
    693.78x = 957.40 × 379.03
  4. Step 4: Simplify right side
    693.78x = 362,883.32
  5. Step 5: Solve for x
    x = 362,883.32/693.78
  6. Step 6: Final answer
    x = 523.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.