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Finding the Fourth Proportional to 708.48, 976.95 and 459.36

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Solution

The fourth proportional to 708.48, 976.95 and 459.36 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.48 : 976.95 = 459.36 : x
  2. Step 2: Convert to fraction form
    708.48/976.95 = 459.36/x
  3. Step 3: Cross multiply
    708.48x = 976.95 × 459.36
  4. Step 4: Simplify right side
    708.48x = 448,771.75
  5. Step 5: Solve for x
    x = 448,771.75/708.48
  6. Step 6: Final answer
    x = 633.43

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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.