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Finding the Fourth Proportional to 553.57, 763.92 and 304.88

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Solution

The fourth proportional to 553.57, 763.92 and 304.88 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.57 : 763.92 = 304.88 : x
  2. Step 2: Convert to fraction form
    553.57/763.92 = 304.88/x
  3. Step 3: Cross multiply
    553.57x = 763.92 × 304.88
  4. Step 4: Simplify right side
    553.57x = 232,900.11
  5. Step 5: Solve for x
    x = 232,900.11/553.57
  6. Step 6: Final answer
    x = 420.73

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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.