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Finding the Fourth Proportional to 553.23, 763.43 and 304.54

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Solution

The fourth proportional to 553.23, 763.43 and 304.54 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.23 : 763.43 = 304.54 : x
  2. Step 2: Convert to fraction form
    553.23/763.43 = 304.54/x
  3. Step 3: Cross multiply
    553.23x = 763.43 × 304.54
  4. Step 4: Simplify right side
    553.23x = 232,494.97
  5. Step 5: Solve for x
    x = 232,494.97/553.23
  6. Step 6: Final answer
    x = 420.25

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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.