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Finding the Fourth Proportional to 552.52, 829.26 and 296.20

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Solution

The fourth proportional to 552.52, 829.26 and 296.20 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 829.26 = 296.20 : x
  2. Step 2: Convert to fraction form
    552.52/829.26 = 296.20/x
  3. Step 3: Cross multiply
    552.52x = 829.26 × 296.20
  4. Step 4: Simplify right side
    552.52x = 245,626.81
  5. Step 5: Solve for x
    x = 245,626.81/552.52
  6. Step 6: Final answer
    x = 444.56

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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.