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Finding the Fourth Proportional to 708.05, 976.25 and 459.27

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Solution

The fourth proportional to 708.05, 976.25 and 459.27 is: 633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 976.25 = 459.27 : x
  2. Step 2: Convert to fraction form
    708.05/976.25 = 459.27/x
  3. Step 3: Cross multiply
    708.05x = 976.25 × 459.27
  4. Step 4: Simplify right side
    708.05x = 448,360.04
  5. Step 5: Solve for x
    x = 448,360.04/708.05
  6. Step 6: Final answer
    x = 633.24

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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.