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Finding the Fourth Proportional to 553.06, 762.78 and 536.14

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Solution

The fourth proportional to 553.06, 762.78 and 536.14 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.06 : 762.78 = 536.14 : x
  2. Step 2: Convert to fraction form
    553.06/762.78 = 536.14/x
  3. Step 3: Cross multiply
    553.06x = 762.78 × 536.14
  4. Step 4: Simplify right side
    553.06x = 408,956.87
  5. Step 5: Solve for x
    x = 408,956.87/553.06
  6. Step 6: Final answer
    x = 739.44

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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.