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Finding the Fourth Proportional to 383.18, 527.19 and 295.70

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Solution

The fourth proportional to 383.18, 527.19 and 295.70 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 527.19 = 295.70 : x
  2. Step 2: Convert to fraction form
    383.18/527.19 = 295.70/x
  3. Step 3: Cross multiply
    383.18x = 527.19 × 295.70
  4. Step 4: Simplify right side
    383.18x = 155,890.08
  5. Step 5: Solve for x
    x = 155,890.08/383.18
  6. Step 6: Final answer
    x = 406.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.