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Finding the Fourth Proportional to 552.47, 829.19 and 275.13

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Solution

The fourth proportional to 552.47, 829.19 and 275.13 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 829.19 = 275.13 : x
  2. Step 2: Convert to fraction form
    552.47/829.19 = 275.13/x
  3. Step 3: Cross multiply
    552.47x = 829.19 × 275.13
  4. Step 4: Simplify right side
    552.47x = 228,135.73
  5. Step 5: Solve for x
    x = 228,135.73/552.47
  6. Step 6: Final answer
    x = 412.94

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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.