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Finding the Fourth Proportional to 406.60, 607.56 and 334.24

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Solution

The fourth proportional to 406.60, 607.56 and 334.24 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 607.56 = 334.24 : x
  2. Step 2: Convert to fraction form
    406.60/607.56 = 334.24/x
  3. Step 3: Cross multiply
    406.60x = 607.56 × 334.24
  4. Step 4: Simplify right side
    406.60x = 203,070.85
  5. Step 5: Solve for x
    x = 203,070.85/406.60
  6. Step 6: Final answer
    x = 499.44

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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.