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Finding the Fourth Proportional to 409.44, 610.95 and 360.23

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Solution

The fourth proportional to 409.44, 610.95 and 360.23 is: 537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.44 : 610.95 = 360.23 : x
  2. Step 2: Convert to fraction form
    409.44/610.95 = 360.23/x
  3. Step 3: Cross multiply
    409.44x = 610.95 × 360.23
  4. Step 4: Simplify right side
    409.44x = 220,079.46
  5. Step 5: Solve for x
    x = 220,079.46/409.44
  6. Step 6: Final answer
    x = 537.51

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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.