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Finding the Fourth Proportional to 517.77, 776.37 and 389.25

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Solution

The fourth proportional to 517.77, 776.37 and 389.25 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 776.37 = 389.25 : x
  2. Step 2: Convert to fraction form
    517.77/776.37 = 389.25/x
  3. Step 3: Cross multiply
    517.77x = 776.37 × 389.25
  4. Step 4: Simplify right side
    517.77x = 302,202.02
  5. Step 5: Solve for x
    x = 302,202.02/517.77
  6. Step 6: Final answer
    x = 583.66

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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.