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Finding the Fourth Proportional to 418.94, 624.42 and 409.22

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Solution

The fourth proportional to 418.94, 624.42 and 409.22 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 624.42 = 409.22 : x
  2. Step 2: Convert to fraction form
    418.94/624.42 = 409.22/x
  3. Step 3: Cross multiply
    418.94x = 624.42 × 409.22
  4. Step 4: Simplify right side
    418.94x = 255,523.11
  5. Step 5: Solve for x
    x = 255,523.11/418.94
  6. Step 6: Final answer
    x = 609.93

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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.