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Finding the Fourth Proportional to 693.71, 957.35 and 379.00

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Solution

The fourth proportional to 693.71, 957.35 and 379.00 is: 523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.71 : 957.35 = 379.00 : x
  2. Step 2: Convert to fraction form
    693.71/957.35 = 379.00/x
  3. Step 3: Cross multiply
    693.71x = 957.35 × 379.00
  4. Step 4: Simplify right side
    693.71x = 362,828.97
  5. Step 5: Solve for x
    x = 362,828.97/693.71
  6. Step 6: Final answer
    x = 523.03

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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.