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Finding the Fourth Proportional to 552.29, 762.16 and 303.62

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Solution

The fourth proportional to 552.29, 762.16 and 303.62 is: 419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 762.16 = 303.62 : x
  2. Step 2: Convert to fraction form
    552.29/762.16 = 303.62/x
  3. Step 3: Cross multiply
    552.29x = 762.16 × 303.62
  4. Step 4: Simplify right side
    552.29x = 231,409.45
  5. Step 5: Solve for x
    x = 231,409.45/552.29
  6. Step 6: Final answer
    x = 419.00

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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.