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Finding the Fourth Proportional to 694.34, 957.51 and 461.46

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Solution

The fourth proportional to 694.34, 957.51 and 461.46 is: 636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 957.51 = 461.46 : x
  2. Step 2: Convert to fraction form
    694.34/957.51 = 461.46/x
  3. Step 3: Cross multiply
    694.34x = 957.51 × 461.46
  4. Step 4: Simplify right side
    694.34x = 441,852.56
  5. Step 5: Solve for x
    x = 441,852.56/694.34
  6. Step 6: Final answer
    x = 636.37

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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.