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Finding the Fourth Proportional to 576.60, 795.88 and 343.86

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Solution

The fourth proportional to 576.60, 795.88 and 343.86 is: 474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 795.88 = 343.86 : x
  2. Step 2: Convert to fraction form
    576.60/795.88 = 343.86/x
  3. Step 3: Cross multiply
    576.60x = 795.88 × 343.86
  4. Step 4: Simplify right side
    576.60x = 273,671.30
  5. Step 5: Solve for x
    x = 273,671.30/576.60
  6. Step 6: Final answer
    x = 474.63

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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.