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Finding the Fourth Proportional to 694.84, 958.62 and 414.94

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Solution

The fourth proportional to 694.84, 958.62 and 414.94 is: 572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 958.62 = 414.94 : x
  2. Step 2: Convert to fraction form
    694.84/958.62 = 414.94/x
  3. Step 3: Cross multiply
    694.84x = 958.62 × 414.94
  4. Step 4: Simplify right side
    694.84x = 397,769.78
  5. Step 5: Solve for x
    x = 397,769.78/694.84
  6. Step 6: Final answer
    x = 572.46

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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.