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Finding the Fourth Proportional to 355.31, 491.24 and 340.01

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Solution

The fourth proportional to 355.31, 491.24 and 340.01 is: 470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 491.24 = 340.01 : x
  2. Step 2: Convert to fraction form
    355.31/491.24 = 340.01/x
  3. Step 3: Cross multiply
    355.31x = 491.24 × 340.01
  4. Step 4: Simplify right side
    355.31x = 167,028.59
  5. Step 5: Solve for x
    x = 167,028.59/355.31
  6. Step 6: Final answer
    x = 470.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.