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Finding the Fourth Proportional to 340.47, 509.56 and 327.71

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Solution

The fourth proportional to 340.47, 509.56 and 327.71 is: 490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 509.56 = 327.71 : x
  2. Step 2: Convert to fraction form
    340.47/509.56 = 327.71/x
  3. Step 3: Cross multiply
    340.47x = 509.56 × 327.71
  4. Step 4: Simplify right side
    340.47x = 166,988.36
  5. Step 5: Solve for x
    x = 166,988.36/340.47
  6. Step 6: Final answer
    x = 490.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.