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Finding the Fourth Proportional to 382.56, 527.58 and 295.08

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Solution

The fourth proportional to 382.56, 527.58 and 295.08 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 527.58 = 295.08 : x
  2. Step 2: Convert to fraction form
    382.56/527.58 = 295.08/x
  3. Step 3: Cross multiply
    382.56x = 527.58 × 295.08
  4. Step 4: Simplify right side
    382.56x = 155,678.31
  5. Step 5: Solve for x
    x = 155,678.31/382.56
  6. Step 6: Final answer
    x = 406.94

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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.