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Finding the Fourth Proportional to 451.59, 676.57 and 420

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Solution

The fourth proportional to 451.59, 676.57 and 420 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.59 : 676.57 = 420 : x
  2. Step 2: Convert to fraction form
    451.59/676.57 = 420/x
  3. Step 3: Cross multiply
    451.59x = 676.57 × 420
  4. Step 4: Simplify right side
    451.59x = 284,159.40
  5. Step 5: Solve for x
    x = 284,159.40/451.59
  6. Step 6: Final answer
    x = 629.24

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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.