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Finding the Fourth Proportional to 616.44, 923.76 and 328.08

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Solution

The fourth proportional to 616.44, 923.76 and 328.08 is: 491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 923.76 = 328.08 : x
  2. Step 2: Convert to fraction form
    616.44/923.76 = 328.08/x
  3. Step 3: Cross multiply
    616.44x = 923.76 × 328.08
  4. Step 4: Simplify right side
    616.44x = 303,067.18
  5. Step 5: Solve for x
    x = 303,067.18/616.44
  6. Step 6: Final answer
    x = 491.64

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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.