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Finding the Fourth Proportional to 693.84, 957.47 and 379.10

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Solution

The fourth proportional to 693.84, 957.47 and 379.10 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 957.47 = 379.10 : x
  2. Step 2: Convert to fraction form
    693.84/957.47 = 379.10/x
  3. Step 3: Cross multiply
    693.84x = 957.47 × 379.10
  4. Step 4: Simplify right side
    693.84x = 362,974.98
  5. Step 5: Solve for x
    x = 362,974.98/693.84
  6. Step 6: Final answer
    x = 523.14

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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.