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Finding the Fourth Proportional to 261.58, 391.15 and 257.94

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Solution

The fourth proportional to 261.58, 391.15 and 257.94 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.58 : 391.15 = 257.94 : x
  2. Step 2: Convert to fraction form
    261.58/391.15 = 257.94/x
  3. Step 3: Cross multiply
    261.58x = 391.15 × 257.94
  4. Step 4: Simplify right side
    261.58x = 100,893.23
  5. Step 5: Solve for x
    x = 100,893.23/261.58
  6. Step 6: Final answer
    x = 385.71

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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.