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Finding the Fourth Proportional to 616.73, 924.99 and 205.82

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Solution

The fourth proportional to 616.73, 924.99 and 205.82 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 924.99 = 205.82 : x
  2. Step 2: Convert to fraction form
    616.73/924.99 = 205.82/x
  3. Step 3: Cross multiply
    616.73x = 924.99 × 205.82
  4. Step 4: Simplify right side
    616.73x = 190,379.51
  5. Step 5: Solve for x
    x = 190,379.51/616.73
  6. Step 6: Final answer
    x = 308.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.