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Finding the Fourth Proportional to 406.63, 610.76 and 396.91

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Solution

The fourth proportional to 406.63, 610.76 and 396.91 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 610.76 = 396.91 : x
  2. Step 2: Convert to fraction form
    406.63/610.76 = 396.91/x
  3. Step 3: Cross multiply
    406.63x = 610.76 × 396.91
  4. Step 4: Simplify right side
    406.63x = 242,416.75
  5. Step 5: Solve for x
    x = 242,416.75/406.63
  6. Step 6: Final answer
    x = 596.16

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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.