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Finding the Fourth Proportional to 664.32, 914.60 and 514.56

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Solution

The fourth proportional to 664.32, 914.60 and 514.56 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 914.60 = 514.56 : x
  2. Step 2: Convert to fraction form
    664.32/914.60 = 514.56/x
  3. Step 3: Cross multiply
    664.32x = 914.60 × 514.56
  4. Step 4: Simplify right side
    664.32x = 470,616.58
  5. Step 5: Solve for x
    x = 470,616.58/664.32
  6. Step 6: Final answer
    x = 708.42

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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.