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Finding the Fourth Proportional to 409.04, 612.36 and 405.80

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Solution

The fourth proportional to 409.04, 612.36 and 405.80 is: 607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 612.36 = 405.80 : x
  2. Step 2: Convert to fraction form
    409.04/612.36 = 405.80/x
  3. Step 3: Cross multiply
    409.04x = 612.36 × 405.80
  4. Step 4: Simplify right side
    409.04x = 248,495.69
  5. Step 5: Solve for x
    x = 248,495.69/409.04
  6. Step 6: Final answer
    x = 607.51

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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.