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Finding the Fourth Proportional to 416.47, 574.71 and 229.94

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Solution

The fourth proportional to 416.47, 574.71 and 229.94 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 574.71 = 229.94 : x
  2. Step 2: Convert to fraction form
    416.47/574.71 = 229.94/x
  3. Step 3: Cross multiply
    416.47x = 574.71 × 229.94
  4. Step 4: Simplify right side
    416.47x = 132,148.82
  5. Step 5: Solve for x
    x = 132,148.82/416.47
  6. Step 6: Final answer
    x = 317.31

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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.