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Finding the Fourth Proportional to 577.77, 866.65 and 212.55

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Solution

The fourth proportional to 577.77, 866.65 and 212.55 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.77 : 866.65 = 212.55 : x
  2. Step 2: Convert to fraction form
    577.77/866.65 = 212.55/x
  3. Step 3: Cross multiply
    577.77x = 866.65 × 212.55
  4. Step 4: Simplify right side
    577.77x = 184,206.46
  5. Step 5: Solve for x
    x = 184,206.46/577.77
  6. Step 6: Final answer
    x = 318.82

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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.