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Finding the Fourth Proportional to 553.51, 763.88 and 366.68

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Solution

The fourth proportional to 553.51, 763.88 and 366.68 is: 506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.51 : 763.88 = 366.68 : x
  2. Step 2: Convert to fraction form
    553.51/763.88 = 366.68/x
  3. Step 3: Cross multiply
    553.51x = 763.88 × 366.68
  4. Step 4: Simplify right side
    553.51x = 280,099.52
  5. Step 5: Solve for x
    x = 280,099.52/553.51
  6. Step 6: Final answer
    x = 506.04

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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.