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Finding the Fourth Proportional to 409.05, 609.25 and 407.06

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Solution

The fourth proportional to 409.05, 609.25 and 407.06 is: 606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 609.25 = 407.06 : x
  2. Step 2: Convert to fraction form
    409.05/609.25 = 407.06/x
  3. Step 3: Cross multiply
    409.05x = 609.25 × 407.06
  4. Step 4: Simplify right side
    409.05x = 248,000.29
  5. Step 5: Solve for x
    x = 248,000.29/409.05
  6. Step 6: Final answer
    x = 606.28

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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.