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Finding the Fourth Proportional to 616.86, 925.29 and 309.09

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Solution

The fourth proportional to 616.86, 925.29 and 309.09 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 925.29 = 309.09 : x
  2. Step 2: Convert to fraction form
    616.86/925.29 = 309.09/x
  3. Step 3: Cross multiply
    616.86x = 925.29 × 309.09
  4. Step 4: Simplify right side
    616.86x = 285,997.89
  5. Step 5: Solve for x
    x = 285,997.89/616.86
  6. Step 6: Final answer
    x = 463.64

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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.