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Finding the Fourth Proportional to 556.80, 768.06 and 446.46

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Solution

The fourth proportional to 556.80, 768.06 and 446.46 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 768.06 = 446.46 : x
  2. Step 2: Convert to fraction form
    556.80/768.06 = 446.46/x
  3. Step 3: Cross multiply
    556.80x = 768.06 × 446.46
  4. Step 4: Simplify right side
    556.80x = 342,908.07
  5. Step 5: Solve for x
    x = 342,908.07/556.80
  6. Step 6: Final answer
    x = 615.86

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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.