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Finding the Fourth Proportional to 414.04, 621.06 and 407.23

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Solution

The fourth proportional to 414.04, 621.06 and 407.23 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.04 : 621.06 = 407.23 : x
  2. Step 2: Convert to fraction form
    414.04/621.06 = 407.23/x
  3. Step 3: Cross multiply
    414.04x = 621.06 × 407.23
  4. Step 4: Simplify right side
    414.04x = 252,914.26
  5. Step 5: Solve for x
    x = 252,914.26/414.04
  6. Step 6: Final answer
    x = 610.85

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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.