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Finding the Fourth Proportional to 616.16, 923.75 and 307.85

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Solution

The fourth proportional to 616.16, 923.75 and 307.85 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 923.75 = 307.85 : x
  2. Step 2: Convert to fraction form
    616.16/923.75 = 307.85/x
  3. Step 3: Cross multiply
    616.16x = 923.75 × 307.85
  4. Step 4: Simplify right side
    616.16x = 284,379.52
  5. Step 5: Solve for x
    x = 284,379.52/616.16
  6. Step 6: Final answer
    x = 461.54

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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.