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Finding the Fourth Proportional to 618.64, 854.07 and 408.75

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Solution

The fourth proportional to 618.64, 854.07 and 408.75 is: 564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.64 : 854.07 = 408.75 : x
  2. Step 2: Convert to fraction form
    618.64/854.07 = 408.75/x
  3. Step 3: Cross multiply
    618.64x = 854.07 × 408.75
  4. Step 4: Simplify right side
    618.64x = 349,097.53
  5. Step 5: Solve for x
    x = 349,097.53/618.64
  6. Step 6: Final answer
    x = 564.30

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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.