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Finding the Fourth Proportional to 616.55, 924.73 and 205.64

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Solution

The fourth proportional to 616.55, 924.73 and 205.64 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.55 : 924.73 = 205.64 : x
  2. Step 2: Convert to fraction form
    616.55/924.73 = 205.64/x
  3. Step 3: Cross multiply
    616.55x = 924.73 × 205.64
  4. Step 4: Simplify right side
    616.55x = 190,156.34
  5. Step 5: Solve for x
    x = 190,156.34/616.55
  6. Step 6: Final answer
    x = 308.42

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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.