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Finding the Fourth Proportional to 453.14, 676.03 and 420.06

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Solution

The fourth proportional to 453.14, 676.03 and 420.06 is: 626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.14 : 676.03 = 420.06 : x
  2. Step 2: Convert to fraction form
    453.14/676.03 = 420.06/x
  3. Step 3: Cross multiply
    453.14x = 676.03 × 420.06
  4. Step 4: Simplify right side
    453.14x = 283,973.16
  5. Step 5: Solve for x
    x = 283,973.16/453.14
  6. Step 6: Final answer
    x = 626.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.