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Finding the Fourth Proportional to 694.66, 958.01 and 414.80

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Solution

The fourth proportional to 694.66, 958.01 and 414.80 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.66 : 958.01 = 414.80 : x
  2. Step 2: Convert to fraction form
    694.66/958.01 = 414.80/x
  3. Step 3: Cross multiply
    694.66x = 958.01 × 414.80
  4. Step 4: Simplify right side
    694.66x = 397,378.79
  5. Step 5: Solve for x
    x = 397,378.79/694.66
  6. Step 6: Final answer
    x = 572.05

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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.