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Finding the Fourth Proportional to 383.40, 573.89 and 253.10

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Solution

The fourth proportional to 383.40, 573.89 and 253.10 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 573.89 = 253.10 : x
  2. Step 2: Convert to fraction form
    383.40/573.89 = 253.10/x
  3. Step 3: Cross multiply
    383.40x = 573.89 × 253.10
  4. Step 4: Simplify right side
    383.40x = 145,251.73
  5. Step 5: Solve for x
    x = 145,251.73/383.40
  6. Step 6: Final answer
    x = 378.85

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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.