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Finding the Fourth Proportional to 552.64, 762.64 and 303.96

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Solution

The fourth proportional to 552.64, 762.64 and 303.96 is: 419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.64 : 762.64 = 303.96 : x
  2. Step 2: Convert to fraction form
    552.64/762.64 = 303.96/x
  3. Step 3: Cross multiply
    552.64x = 762.64 × 303.96
  4. Step 4: Simplify right side
    552.64x = 231,812.05
  5. Step 5: Solve for x
    x = 231,812.05/552.64
  6. Step 6: Final answer
    x = 419.46

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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.