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Finding the Fourth Proportional to 693.76, 957.38 and 379.02

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Solution

The fourth proportional to 693.76, 957.38 and 379.02 is: 523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 957.38 = 379.02 : x
  2. Step 2: Convert to fraction form
    693.76/957.38 = 379.02/x
  3. Step 3: Cross multiply
    693.76x = 957.38 × 379.02
  4. Step 4: Simplify right side
    693.76x = 362,866.17
  5. Step 5: Solve for x
    x = 362,866.17/693.76
  6. Step 6: Final answer
    x = 523.04

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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.