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Finding the Fourth Proportional to 486.85, 670.39 and 416.38

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Solution

The fourth proportional to 486.85, 670.39 and 416.38 is: 573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.85 : 670.39 = 416.38 : x
  2. Step 2: Convert to fraction form
    486.85/670.39 = 416.38/x
  3. Step 3: Cross multiply
    486.85x = 670.39 × 416.38
  4. Step 4: Simplify right side
    486.85x = 279,136.99
  5. Step 5: Solve for x
    x = 279,136.99/486.85
  6. Step 6: Final answer
    x = 573.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.