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Finding the Fourth Proportional to 553.63, 829.81 and 451.10

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Solution

The fourth proportional to 553.63, 829.81 and 451.10 is: 676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 829.81 = 451.10 : x
  2. Step 2: Convert to fraction form
    553.63/829.81 = 451.10/x
  3. Step 3: Cross multiply
    553.63x = 829.81 × 451.10
  4. Step 4: Simplify right side
    553.63x = 374,327.29
  5. Step 5: Solve for x
    x = 374,327.29/553.63
  6. Step 6: Final answer
    x = 676.13

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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.