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Finding the Fourth Proportional to 553.14, 829.05 and 450.60

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Solution

The fourth proportional to 553.14, 829.05 and 450.60 is: 675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 829.05 = 450.60 : x
  2. Step 2: Convert to fraction form
    553.14/829.05 = 450.60/x
  3. Step 3: Cross multiply
    553.14x = 829.05 × 450.60
  4. Step 4: Simplify right side
    553.14x = 373,569.93
  5. Step 5: Solve for x
    x = 373,569.93/553.14
  6. Step 6: Final answer
    x = 675.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.