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Finding the Fourth Proportional to 556.68, 768.19 and 346.84

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Solution

The fourth proportional to 556.68, 768.19 and 346.84 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 768.19 = 346.84 : x
  2. Step 2: Convert to fraction form
    556.68/768.19 = 346.84/x
  3. Step 3: Cross multiply
    556.68x = 768.19 × 346.84
  4. Step 4: Simplify right side
    556.68x = 266,433.44
  5. Step 5: Solve for x
    x = 266,433.44/556.68
  6. Step 6: Final answer
    x = 478.61

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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.