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Finding the Fourth Proportional to 618.06, 926.28 and 462.76

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Solution

The fourth proportional to 618.06, 926.28 and 462.76 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.06 : 926.28 = 462.76 : x
  2. Step 2: Convert to fraction form
    618.06/926.28 = 462.76/x
  3. Step 3: Cross multiply
    618.06x = 926.28 × 462.76
  4. Step 4: Simplify right side
    618.06x = 428,645.33
  5. Step 5: Solve for x
    x = 428,645.33/618.06
  6. Step 6: Final answer
    x = 693.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.