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Finding the Fourth Proportional to 416.34, 575.24 and 328.86

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Solution

The fourth proportional to 416.34, 575.24 and 328.86 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 575.24 = 328.86 : x
  2. Step 2: Convert to fraction form
    416.34/575.24 = 328.86/x
  3. Step 3: Cross multiply
    416.34x = 575.24 × 328.86
  4. Step 4: Simplify right side
    416.34x = 189,171.78
  5. Step 5: Solve for x
    x = 189,171.78/416.34
  6. Step 6: Final answer
    x = 454.37

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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.