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Finding the Fourth Proportional to 577.44, 869.40 and 509.40

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Solution

The fourth proportional to 577.44, 869.40 and 509.40 is: 766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 869.40 = 509.40 : x
  2. Step 2: Convert to fraction form
    577.44/869.40 = 509.40/x
  3. Step 3: Cross multiply
    577.44x = 869.40 × 509.40
  4. Step 4: Simplify right side
    577.44x = 442,872.36
  5. Step 5: Solve for x
    x = 442,872.36/577.44
  6. Step 6: Final answer
    x = 766.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.