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Finding the Fourth Proportional to 577.58, 866.46 and 192.92

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Solution

The fourth proportional to 577.58, 866.46 and 192.92 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 866.46 = 192.92 : x
  2. Step 2: Convert to fraction form
    577.58/866.46 = 192.92/x
  3. Step 3: Cross multiply
    577.58x = 866.46 × 192.92
  4. Step 4: Simplify right side
    577.58x = 167,157.46
  5. Step 5: Solve for x
    x = 167,157.46/577.58
  6. Step 6: Final answer
    x = 289.41

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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.