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Finding the Fourth Proportional to 577.10, 866.20 and 536.88

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Solution

The fourth proportional to 577.10, 866.20 and 536.88 is: 805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 866.20 = 536.88 : x
  2. Step 2: Convert to fraction form
    577.10/866.20 = 536.88/x
  3. Step 3: Cross multiply
    577.10x = 866.20 × 536.88
  4. Step 4: Simplify right side
    577.10x = 465,045.46
  5. Step 5: Solve for x
    x = 465,045.46/577.10
  6. Step 6: Final answer
    x = 805.83

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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.