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Finding the Fourth Proportional to 577.60, 866.84 and 345.77

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Solution

The fourth proportional to 577.60, 866.84 and 345.77 is: 518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 866.84 = 345.77 : x
  2. Step 2: Convert to fraction form
    577.60/866.84 = 345.77/x
  3. Step 3: Cross multiply
    577.60x = 866.84 × 345.77
  4. Step 4: Simplify right side
    577.60x = 299,724.45
  5. Step 5: Solve for x
    x = 299,724.45/577.60
  6. Step 6: Final answer
    x = 518.92

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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.