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Finding the Fourth Proportional to 563.16, 776.72 and 366.74

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Solution

The fourth proportional to 563.16, 776.72 and 366.74 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 776.72 = 366.74 : x
  2. Step 2: Convert to fraction form
    563.16/776.72 = 366.74/x
  3. Step 3: Cross multiply
    563.16x = 776.72 × 366.74
  4. Step 4: Simplify right side
    563.16x = 284,850.41
  5. Step 5: Solve for x
    x = 284,850.41/563.16
  6. Step 6: Final answer
    x = 505.81

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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.