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Finding the Fourth Proportional to 708.54, 976.94 and 459.77

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Solution

The fourth proportional to 708.54, 976.94 and 459.77 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 976.94 = 459.77 : x
  2. Step 2: Convert to fraction form
    708.54/976.94 = 459.77/x
  3. Step 3: Cross multiply
    708.54x = 976.94 × 459.77
  4. Step 4: Simplify right side
    708.54x = 449,167.70
  5. Step 5: Solve for x
    x = 449,167.70/708.54
  6. Step 6: Final answer
    x = 633.93

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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.