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Finding the Fourth Proportional to 576.76, 795.51 and 366.73

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Solution

The fourth proportional to 576.76, 795.51 and 366.73 is: 505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 795.51 = 366.73 : x
  2. Step 2: Convert to fraction form
    576.76/795.51 = 366.73/x
  3. Step 3: Cross multiply
    576.76x = 795.51 × 366.73
  4. Step 4: Simplify right side
    576.76x = 291,737.38
  5. Step 5: Solve for x
    x = 291,737.38/576.76
  6. Step 6: Final answer
    x = 505.82

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Why These Related Problems?

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