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Finding the Fourth Proportional to 552.51, 762.46 and 303.84

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Solution

The fourth proportional to 552.51, 762.46 and 303.84 is: 419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 762.46 = 303.84 : x
  2. Step 2: Convert to fraction form
    552.51/762.46 = 303.84/x
  3. Step 3: Cross multiply
    552.51x = 762.46 × 303.84
  4. Step 4: Simplify right side
    552.51x = 231,669.37
  5. Step 5: Solve for x
    x = 231,669.37/552.51
  6. Step 6: Final answer
    x = 419.31

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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.