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Finding the Fourth Proportional to 553.14, 763.29 and 366.66

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Solution

The fourth proportional to 553.14, 763.29 and 366.66 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 763.29 = 366.66 : x
  2. Step 2: Convert to fraction form
    553.14/763.29 = 366.66/x
  3. Step 3: Cross multiply
    553.14x = 763.29 × 366.66
  4. Step 4: Simplify right side
    553.14x = 279,867.91
  5. Step 5: Solve for x
    x = 279,867.91/553.14
  6. Step 6: Final answer
    x = 505.96

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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.