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Finding the Fourth Proportional to 648.58, 893.52 and 451.74

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Solution

The fourth proportional to 648.58, 893.52 and 451.74 is: 622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.58 : 893.52 = 451.74 : x
  2. Step 2: Convert to fraction form
    648.58/893.52 = 451.74/x
  3. Step 3: Cross multiply
    648.58x = 893.52 × 451.74
  4. Step 4: Simplify right side
    648.58x = 403,638.72
  5. Step 5: Solve for x
    x = 403,638.72/648.58
  6. Step 6: Final answer
    x = 622.34

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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.