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Finding the Fourth Proportional to 577.82, 866.76 and 193.04

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Solution

The fourth proportional to 577.82, 866.76 and 193.04 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.82 : 866.76 = 193.04 : x
  2. Step 2: Convert to fraction form
    577.82/866.76 = 193.04/x
  3. Step 3: Cross multiply
    577.82x = 866.76 × 193.04
  4. Step 4: Simplify right side
    577.82x = 167,319.35
  5. Step 5: Solve for x
    x = 167,319.35/577.82
  6. Step 6: Final answer
    x = 289.57

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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.