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Finding the Fourth Proportional to 694.68, 958.59 and 415

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Solution

The fourth proportional to 694.68, 958.59 and 415 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.68 : 958.59 = 415 : x
  2. Step 2: Convert to fraction form
    694.68/958.59 = 415/x
  3. Step 3: Cross multiply
    694.68x = 958.59 × 415
  4. Step 4: Simplify right side
    694.68x = 397,814.85
  5. Step 5: Solve for x
    x = 397,814.85/694.68
  6. Step 6: Final answer
    x = 572.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.