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Finding the Fourth Proportional to 446.45, 616.84 and 347.23

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Solution

The fourth proportional to 446.45, 616.84 and 347.23 is: 479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.45 : 616.84 = 347.23 : x
  2. Step 2: Convert to fraction form
    446.45/616.84 = 347.23/x
  3. Step 3: Cross multiply
    446.45x = 616.84 × 347.23
  4. Step 4: Simplify right side
    446.45x = 214,182.94
  5. Step 5: Solve for x
    x = 214,182.94/446.45
  6. Step 6: Final answer
    x = 479.74

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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.