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Finding the Fourth Proportional to 447.16, 617.20 and 260.64

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Solution

The fourth proportional to 447.16, 617.20 and 260.64 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 617.20 = 260.64 : x
  2. Step 2: Convert to fraction form
    447.16/617.20 = 260.64/x
  3. Step 3: Cross multiply
    447.16x = 617.20 × 260.64
  4. Step 4: Simplify right side
    447.16x = 160,867.01
  5. Step 5: Solve for x
    x = 160,867.01/447.16
  6. Step 6: Final answer
    x = 359.75

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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.