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Finding the Fourth Proportional to 446.64, 617.12 and 347.55

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Solution

The fourth proportional to 446.64, 617.12 and 347.55 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 617.12 = 347.55 : x
  2. Step 2: Convert to fraction form
    446.64/617.12 = 347.55/x
  3. Step 3: Cross multiply
    446.64x = 617.12 × 347.55
  4. Step 4: Simplify right side
    446.64x = 214,480.06
  5. Step 5: Solve for x
    x = 214,480.06/446.64
  6. Step 6: Final answer
    x = 480.21

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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.