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Finding the Fourth Proportional to 581.68, 872.81 and 257

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Solution

The fourth proportional to 581.68, 872.81 and 257 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 872.81 = 257 : x
  2. Step 2: Convert to fraction form
    581.68/872.81 = 257/x
  3. Step 3: Cross multiply
    581.68x = 872.81 × 257
  4. Step 4: Simplify right side
    581.68x = 224,312.17
  5. Step 5: Solve for x
    x = 224,312.17/581.68
  6. Step 6: Final answer
    x = 385.63

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