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Finding the Fourth Proportional to 618.89, 929.41 and 455.99

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Solution

The fourth proportional to 618.89, 929.41 and 455.99 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.89 : 929.41 = 455.99 : x
  2. Step 2: Convert to fraction form
    618.89/929.41 = 455.99/x
  3. Step 3: Cross multiply
    618.89x = 929.41 × 455.99
  4. Step 4: Simplify right side
    618.89x = 423,795.88
  5. Step 5: Solve for x
    x = 423,795.88/618.89
  6. Step 6: Final answer
    x = 684.77

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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.