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Finding the Fourth Proportional to 616.36, 924.56 and 205.54

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Solution

The fourth proportional to 616.36, 924.56 and 205.54 is: 308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 924.56 = 205.54 : x
  2. Step 2: Convert to fraction form
    616.36/924.56 = 205.54/x
  3. Step 3: Cross multiply
    616.36x = 924.56 × 205.54
  4. Step 4: Simplify right side
    616.36x = 190,034.06
  5. Step 5: Solve for x
    x = 190,034.06/616.36
  6. Step 6: Final answer
    x = 308.32

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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.