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Finding the Fourth Proportional to 446.65, 616.83 and 347.44

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Solution

The fourth proportional to 446.65, 616.83 and 347.44 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.65 : 616.83 = 347.44 : x
  2. Step 2: Convert to fraction form
    446.65/616.83 = 347.44/x
  3. Step 3: Cross multiply
    446.65x = 616.83 × 347.44
  4. Step 4: Simplify right side
    446.65x = 214,311.42
  5. Step 5: Solve for x
    x = 214,311.42/446.65
  6. Step 6: Final answer
    x = 479.82

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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.