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Finding the Fourth Proportional to 577.68, 796.14 and 411.90

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Solution

The fourth proportional to 577.68, 796.14 and 411.90 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 796.14 = 411.90 : x
  2. Step 2: Convert to fraction form
    577.68/796.14 = 411.90/x
  3. Step 3: Cross multiply
    577.68x = 796.14 × 411.90
  4. Step 4: Simplify right side
    577.68x = 327,930.07
  5. Step 5: Solve for x
    x = 327,930.07/577.68
  6. Step 6: Final answer
    x = 567.67

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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.