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Finding the Fourth Proportional to 708.05, 976.43 and 459.28

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Solution

The fourth proportional to 708.05, 976.43 and 459.28 is: 633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 976.43 = 459.28 : x
  2. Step 2: Convert to fraction form
    708.05/976.43 = 459.28/x
  3. Step 3: Cross multiply
    708.05x = 976.43 × 459.28
  4. Step 4: Simplify right side
    708.05x = 448,457.14
  5. Step 5: Solve for x
    x = 448,457.14/708.05
  6. Step 6: Final answer
    x = 633.37

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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.