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Finding the Fourth Proportional to 552.60, 829.13 and 278.63

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Solution

The fourth proportional to 552.60, 829.13 and 278.63 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 829.13 = 278.63 : x
  2. Step 2: Convert to fraction form
    552.60/829.13 = 278.63/x
  3. Step 3: Cross multiply
    552.60x = 829.13 × 278.63
  4. Step 4: Simplify right side
    552.60x = 231,014.95
  5. Step 5: Solve for x
    x = 231,014.95/552.60
  6. Step 6: Final answer
    x = 418.05

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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.