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Finding the Fourth Proportional to 562.94, 776.92 and 366.61

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Solution

The fourth proportional to 562.94, 776.92 and 366.61 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 776.92 = 366.61 : x
  2. Step 2: Convert to fraction form
    562.94/776.92 = 366.61/x
  3. Step 3: Cross multiply
    562.94x = 776.92 × 366.61
  4. Step 4: Simplify right side
    562.94x = 284,826.64
  5. Step 5: Solve for x
    x = 284,826.64/562.94
  6. Step 6: Final answer
    x = 505.96

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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.