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Finding the Fourth Proportional to 552.73, 829.23 and 390.73

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Solution

The fourth proportional to 552.73, 829.23 and 390.73 is: 586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.73 : 829.23 = 390.73 : x
  2. Step 2: Convert to fraction form
    552.73/829.23 = 390.73/x
  3. Step 3: Cross multiply
    552.73x = 829.23 × 390.73
  4. Step 4: Simplify right side
    552.73x = 324,005.04
  5. Step 5: Solve for x
    x = 324,005.04/552.73
  6. Step 6: Final answer
    x = 586.19

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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.