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Finding the Fourth Proportional to 382.14, 573.21 and 260.10

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Solution

The fourth proportional to 382.14, 573.21 and 260.10 is: 390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 573.21 = 260.10 : x
  2. Step 2: Convert to fraction form
    382.14/573.21 = 260.10/x
  3. Step 3: Cross multiply
    382.14x = 573.21 × 260.10
  4. Step 4: Simplify right side
    382.14x = 149,091.92
  5. Step 5: Solve for x
    x = 149,091.92/382.14
  6. Step 6: Final answer
    x = 390.15

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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.