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Finding the Fourth Proportional to 340.24, 507.01 and 329.22

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Solution

The fourth proportional to 340.24, 507.01 and 329.22 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 507.01 = 329.22 : x
  2. Step 2: Convert to fraction form
    340.24/507.01 = 329.22/x
  3. Step 3: Cross multiply
    340.24x = 507.01 × 329.22
  4. Step 4: Simplify right side
    340.24x = 166,917.83
  5. Step 5: Solve for x
    x = 166,917.83/340.24
  6. Step 6: Final answer
    x = 490.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.