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Finding the Fourth Proportional to 382.34, 570.88 and 265.88

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Solution

The fourth proportional to 382.34, 570.88 and 265.88 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.34 : 570.88 = 265.88 : x
  2. Step 2: Convert to fraction form
    382.34/570.88 = 265.88/x
  3. Step 3: Cross multiply
    382.34x = 570.88 × 265.88
  4. Step 4: Simplify right side
    382.34x = 151,785.57
  5. Step 5: Solve for x
    x = 151,785.57/382.34
  6. Step 6: Final answer
    x = 396.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.