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Finding the Fourth Proportional to 416.34, 574.50 and 229.80

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Solution

The fourth proportional to 416.34, 574.50 and 229.80 is: 317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 574.50 = 229.80 : x
  2. Step 2: Convert to fraction form
    416.34/574.50 = 229.80/x
  3. Step 3: Cross multiply
    416.34x = 574.50 × 229.80
  4. Step 4: Simplify right side
    416.34x = 132,020.10
  5. Step 5: Solve for x
    x = 132,020.10/416.34
  6. Step 6: Final answer
    x = 317.10

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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.