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Finding the Fourth Proportional to 417.26, 574.50 and 367.43

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Solution

The fourth proportional to 417.26, 574.50 and 367.43 is: 505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.26 : 574.50 = 367.43 : x
  2. Step 2: Convert to fraction form
    417.26/574.50 = 367.43/x
  3. Step 3: Cross multiply
    417.26x = 574.50 × 367.43
  4. Step 4: Simplify right side
    417.26x = 211,088.59
  5. Step 5: Solve for x
    x = 211,088.59/417.26
  6. Step 6: Final answer
    x = 505.89

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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.