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Finding the Fourth Proportional to 417, 573.24 and 367.32

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Solution

The fourth proportional to 417, 573.24 and 367.32 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 573.24 = 367.32 : x
  2. Step 2: Convert to fraction form
    417/573.24 = 367.32/x
  3. Step 3: Cross multiply
    417x = 573.24 × 367.32
  4. Step 4: Simplify right side
    417x = 210,562.52
  5. Step 5: Solve for x
    x = 210,562.52/417
  6. Step 6: Final answer
    x = 504.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.