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Finding the Fourth Proportional to 446.74, 616.03 and 436.68

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Solution

The fourth proportional to 446.74, 616.03 and 436.68 is: 602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.74 : 616.03 = 436.68 : x
  2. Step 2: Convert to fraction form
    446.74/616.03 = 436.68/x
  3. Step 3: Cross multiply
    446.74x = 616.03 × 436.68
  4. Step 4: Simplify right side
    446.74x = 269,007.98
  5. Step 5: Solve for x
    x = 269,007.98/446.74
  6. Step 6: Final answer
    x = 602.16

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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.