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Finding the Fourth Proportional to 416.73, 575.08 and 230.21

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Solution

The fourth proportional to 416.73, 575.08 and 230.21 is: 317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 575.08 = 230.21 : x
  2. Step 2: Convert to fraction form
    416.73/575.08 = 230.21/x
  3. Step 3: Cross multiply
    416.73x = 575.08 × 230.21
  4. Step 4: Simplify right side
    416.73x = 132,389.17
  5. Step 5: Solve for x
    x = 132,389.17/416.73
  6. Step 6: Final answer
    x = 317.69

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Why These Related Problems?

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