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Finding the Fourth Proportional to 694.42, 957.93 and 414.52

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Solution

The fourth proportional to 694.42, 957.93 and 414.52 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.42 : 957.93 = 414.52 : x
  2. Step 2: Convert to fraction form
    694.42/957.93 = 414.52/x
  3. Step 3: Cross multiply
    694.42x = 957.93 × 414.52
  4. Step 4: Simplify right side
    694.42x = 397,081.14
  5. Step 5: Solve for x
    x = 397,081.14/694.42
  6. Step 6: Final answer
    x = 571.82

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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.