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Finding the Fourth Proportional to 556.70, 768.63 and 409.55

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Solution

The fourth proportional to 556.70, 768.63 and 409.55 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.70 : 768.63 = 409.55 : x
  2. Step 2: Convert to fraction form
    556.70/768.63 = 409.55/x
  3. Step 3: Cross multiply
    556.70x = 768.63 × 409.55
  4. Step 4: Simplify right side
    556.70x = 314,788.57
  5. Step 5: Solve for x
    x = 314,788.57/556.70
  6. Step 6: Final answer
    x = 565.46

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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.