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Finding the Fourth Proportional to 617.05, 925.83 and 324.65

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Solution

The fourth proportional to 617.05, 925.83 and 324.65 is: 487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.05 : 925.83 = 324.65 : x
  2. Step 2: Convert to fraction form
    617.05/925.83 = 324.65/x
  3. Step 3: Cross multiply
    617.05x = 925.83 × 324.65
  4. Step 4: Simplify right side
    617.05x = 300,572.37
  5. Step 5: Solve for x
    x = 300,572.37/617.05
  6. Step 6: Final answer
    x = 487.11

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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.