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Finding the Fourth Proportional to 418.14, 623.66 and 410.85

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Solution

The fourth proportional to 418.14, 623.66 and 410.85 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 623.66 = 410.85 : x
  2. Step 2: Convert to fraction form
    418.14/623.66 = 410.85/x
  3. Step 3: Cross multiply
    418.14x = 623.66 × 410.85
  4. Step 4: Simplify right side
    418.14x = 256,228.66
  5. Step 5: Solve for x
    x = 256,228.66/418.14
  6. Step 6: Final answer
    x = 612.78

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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.