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Finding the Fourth Proportional to 576.48, 795.28 and 343.52

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Solution

The fourth proportional to 576.48, 795.28 and 343.52 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 795.28 = 343.52 : x
  2. Step 2: Convert to fraction form
    576.48/795.28 = 343.52/x
  3. Step 3: Cross multiply
    576.48x = 795.28 × 343.52
  4. Step 4: Simplify right side
    576.48x = 273,194.59
  5. Step 5: Solve for x
    x = 273,194.59/576.48
  6. Step 6: Final answer
    x = 473.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.