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Finding the Fourth Proportional to 618.77, 925.83 and 464.20

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Solution

The fourth proportional to 618.77, 925.83 and 464.20 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.77 : 925.83 = 464.20 : x
  2. Step 2: Convert to fraction form
    618.77/925.83 = 464.20/x
  3. Step 3: Cross multiply
    618.77x = 925.83 × 464.20
  4. Step 4: Simplify right side
    618.77x = 429,767.97
  5. Step 5: Solve for x
    x = 429,767.97/618.77
  6. Step 6: Final answer
    x = 694.55

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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.