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Finding the Fourth Proportional to 577.80, 866.82 and 212.57

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Solution

The fourth proportional to 577.80, 866.82 and 212.57 is: 318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 866.82 = 212.57 : x
  2. Step 2: Convert to fraction form
    577.80/866.82 = 212.57/x
  3. Step 3: Cross multiply
    577.80x = 866.82 × 212.57
  4. Step 4: Simplify right side
    577.80x = 184,263.32
  5. Step 5: Solve for x
    x = 184,263.32/577.80
  6. Step 6: Final answer
    x = 318.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.