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Finding the Fourth Proportional to 483.26, 664.89 and 417.65

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Solution

The fourth proportional to 483.26, 664.89 and 417.65 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.26 : 664.89 = 417.65 : x
  2. Step 2: Convert to fraction form
    483.26/664.89 = 417.65/x
  3. Step 3: Cross multiply
    483.26x = 664.89 × 417.65
  4. Step 4: Simplify right side
    483.26x = 277,691.31
  5. Step 5: Solve for x
    x = 277,691.31/483.26
  6. Step 6: Final answer
    x = 574.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.