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Finding the Fourth Proportional to 420.26, 629.02 and 342.58

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Solution

The fourth proportional to 420.26, 629.02 and 342.58 is: 512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 629.02 = 342.58 : x
  2. Step 2: Convert to fraction form
    420.26/629.02 = 342.58/x
  3. Step 3: Cross multiply
    420.26x = 629.02 × 342.58
  4. Step 4: Simplify right side
    420.26x = 215,489.67
  5. Step 5: Solve for x
    x = 215,489.67/420.26
  6. Step 6: Final answer
    x = 512.75

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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.