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Finding the Fourth Proportional to 708.44, 977.31 and 459.84

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Solution

The fourth proportional to 708.44, 977.31 and 459.84 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.44 : 977.31 = 459.84 : x
  2. Step 2: Convert to fraction form
    708.44/977.31 = 459.84/x
  3. Step 3: Cross multiply
    708.44x = 977.31 × 459.84
  4. Step 4: Simplify right side
    708.44x = 449,406.23
  5. Step 5: Solve for x
    x = 449,406.23/708.44
  6. Step 6: Final answer
    x = 634.36

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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.