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Finding the Fourth Proportional to 694.16, 957.86 and 383.68

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Solution

The fourth proportional to 694.16, 957.86 and 383.68 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 957.86 = 383.68 : x
  2. Step 2: Convert to fraction form
    694.16/957.86 = 383.68/x
  3. Step 3: Cross multiply
    694.16x = 957.86 × 383.68
  4. Step 4: Simplify right side
    694.16x = 367,511.72
  5. Step 5: Solve for x
    x = 367,511.72/694.16
  6. Step 6: Final answer
    x = 529.43

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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.