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Finding the Fourth Proportional to 694.14, 957.77 and 442.14

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Solution

The fourth proportional to 694.14, 957.77 and 442.14 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.14 : 957.77 = 442.14 : x
  2. Step 2: Convert to fraction form
    694.14/957.77 = 442.14/x
  3. Step 3: Cross multiply
    694.14x = 957.77 × 442.14
  4. Step 4: Simplify right side
    694.14x = 423,461.43
  5. Step 5: Solve for x
    x = 423,461.43/694.14
  6. Step 6: Final answer
    x = 610.06

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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.