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Finding the Fourth Proportional to 694.85, 958.91 and 414.99

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Solution

The fourth proportional to 694.85, 958.91 and 414.99 is: 572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.85 : 958.91 = 414.99 : x
  2. Step 2: Convert to fraction form
    694.85/958.91 = 414.99/x
  3. Step 3: Cross multiply
    694.85x = 958.91 × 414.99
  4. Step 4: Simplify right side
    694.85x = 397,935.99
  5. Step 5: Solve for x
    x = 397,935.99/694.85
  6. Step 6: Final answer
    x = 572.70

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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.