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Finding the Fourth Proportional to 694.24, 958.16 and 414.45

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Solution

The fourth proportional to 694.24, 958.16 and 414.45 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.24 : 958.16 = 414.45 : x
  2. Step 2: Convert to fraction form
    694.24/958.16 = 414.45/x
  3. Step 3: Cross multiply
    694.24x = 958.16 × 414.45
  4. Step 4: Simplify right side
    694.24x = 397,110.45
  5. Step 5: Solve for x
    x = 397,110.45/694.24
  6. Step 6: Final answer
    x = 572.01

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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.