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Finding the Fourth Proportional to 525.76, 791.69 and 389.77

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Solution

The fourth proportional to 525.76, 791.69 and 389.77 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 791.69 = 389.77 : x
  2. Step 2: Convert to fraction form
    525.76/791.69 = 389.77/x
  3. Step 3: Cross multiply
    525.76x = 791.69 × 389.77
  4. Step 4: Simplify right side
    525.76x = 308,577.01
  5. Step 5: Solve for x
    x = 308,577.01/525.76
  6. Step 6: Final answer
    x = 586.92

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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.