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Finding the Fourth Proportional to 341.96, 515.14 and 257

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Solution

The fourth proportional to 341.96, 515.14 and 257 is: 387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.96 : 515.14 = 257 : x
  2. Step 2: Convert to fraction form
    341.96/515.14 = 257/x
  3. Step 3: Cross multiply
    341.96x = 515.14 × 257
  4. Step 4: Simplify right side
    341.96x = 132,390.98
  5. Step 5: Solve for x
    x = 132,390.98/341.96
  6. Step 6: Final answer
    x = 387.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.