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Finding the Fourth Proportional to 456.42, 629.98 and 367.86

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Solution

The fourth proportional to 456.42, 629.98 and 367.86 is: 507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 629.98 = 367.86 : x
  2. Step 2: Convert to fraction form
    456.42/629.98 = 367.86/x
  3. Step 3: Cross multiply
    456.42x = 629.98 × 367.86
  4. Step 4: Simplify right side
    456.42x = 231,744.44
  5. Step 5: Solve for x
    x = 231,744.44/456.42
  6. Step 6: Final answer
    x = 507.74

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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.