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Finding the Fourth Proportional to 577.20, 866.04 and 346.52

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Solution

The fourth proportional to 577.20, 866.04 and 346.52 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 866.04 = 346.52 : x
  2. Step 2: Convert to fraction form
    577.20/866.04 = 346.52/x
  3. Step 3: Cross multiply
    577.20x = 866.04 × 346.52
  4. Step 4: Simplify right side
    577.20x = 300,100.18
  5. Step 5: Solve for x
    x = 300,100.18/577.20
  6. Step 6: Final answer
    x = 519.92

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