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Finding the Fourth Proportional to 556.74, 768.69 and 446.31

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Solution

The fourth proportional to 556.74, 768.69 and 446.31 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.74 : 768.69 = 446.31 : x
  2. Step 2: Convert to fraction form
    556.74/768.69 = 446.31/x
  3. Step 3: Cross multiply
    556.74x = 768.69 × 446.31
  4. Step 4: Simplify right side
    556.74x = 343,074.03
  5. Step 5: Solve for x
    x = 343,074.03/556.74
  6. Step 6: Final answer
    x = 616.22

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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.