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Finding the Fourth Proportional to 577.58, 866.34 and 212.46

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Solution

The fourth proportional to 577.58, 866.34 and 212.46 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 866.34 = 212.46 : x
  2. Step 2: Convert to fraction form
    577.58/866.34 = 212.46/x
  3. Step 3: Cross multiply
    577.58x = 866.34 × 212.46
  4. Step 4: Simplify right side
    577.58x = 184,062.60
  5. Step 5: Solve for x
    x = 184,062.60/577.58
  6. Step 6: Final answer
    x = 318.68

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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.