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Finding the Fourth Proportional to 576.57, 864.85 and 345.53

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Solution

The fourth proportional to 576.57, 864.85 and 345.53 is: 518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.57 : 864.85 = 345.53 : x
  2. Step 2: Convert to fraction form
    576.57/864.85 = 345.53/x
  3. Step 3: Cross multiply
    576.57x = 864.85 × 345.53
  4. Step 4: Simplify right side
    576.57x = 298,826.43
  5. Step 5: Solve for x
    x = 298,826.43/576.57
  6. Step 6: Final answer
    x = 518.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.