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Finding the Fourth Proportional to 694.62, 958.53 and 414.95

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Solution

The fourth proportional to 694.62, 958.53 and 414.95 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 958.53 = 414.95 : x
  2. Step 2: Convert to fraction form
    694.62/958.53 = 414.95/x
  3. Step 3: Cross multiply
    694.62x = 958.53 × 414.95
  4. Step 4: Simplify right side
    694.62x = 397,737.23
  5. Step 5: Solve for x
    x = 397,737.23/694.62
  6. Step 6: Final answer
    x = 572.60

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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.