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Finding the Fourth Proportional to 553.46, 763.76 and 304.78

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Solution

The fourth proportional to 553.46, 763.76 and 304.78 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 763.76 = 304.78 : x
  2. Step 2: Convert to fraction form
    553.46/763.76 = 304.78/x
  3. Step 3: Cross multiply
    553.46x = 763.76 × 304.78
  4. Step 4: Simplify right side
    553.46x = 232,778.77
  5. Step 5: Solve for x
    x = 232,778.77/553.46
  6. Step 6: Final answer
    x = 420.59

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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.