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Finding the Fourth Proportional to 618.23, 854.04 and 493.72

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Solution

The fourth proportional to 618.23, 854.04 and 493.72 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.23 : 854.04 = 493.72 : x
  2. Step 2: Convert to fraction form
    618.23/854.04 = 493.72/x
  3. Step 3: Cross multiply
    618.23x = 854.04 × 493.72
  4. Step 4: Simplify right side
    618.23x = 421,660.00
  5. Step 5: Solve for x
    x = 421,660.00/618.23
  6. Step 6: Final answer
    x = 682.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.