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Finding the Fourth Proportional to 435.14, 651.92 and 389.66

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Solution

The fourth proportional to 435.14, 651.92 and 389.66 is: 583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 651.92 = 389.66 : x
  2. Step 2: Convert to fraction form
    435.14/651.92 = 389.66/x
  3. Step 3: Cross multiply
    435.14x = 651.92 × 389.66
  4. Step 4: Simplify right side
    435.14x = 254,027.15
  5. Step 5: Solve for x
    x = 254,027.15/435.14
  6. Step 6: Final answer
    x = 583.78

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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.