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Finding the Fourth Proportional to 576.60, 795.24 and 343.68

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Solution

The fourth proportional to 576.60, 795.24 and 343.68 is: 474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 795.24 = 343.68 : x
  2. Step 2: Convert to fraction form
    576.60/795.24 = 343.68/x
  3. Step 3: Cross multiply
    576.60x = 795.24 × 343.68
  4. Step 4: Simplify right side
    576.60x = 273,308.08
  5. Step 5: Solve for x
    x = 273,308.08/576.60
  6. Step 6: Final answer
    x = 474.00

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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.