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Finding the Fourth Proportional to 563.45, 777.42 and 366.93

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Solution

The fourth proportional to 563.45, 777.42 and 366.93 is: 506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.45 : 777.42 = 366.93 : x
  2. Step 2: Convert to fraction form
    563.45/777.42 = 366.93/x
  3. Step 3: Cross multiply
    563.45x = 777.42 × 366.93
  4. Step 4: Simplify right side
    563.45x = 285,258.72
  5. Step 5: Solve for x
    x = 285,258.72/563.45
  6. Step 6: Final answer
    x = 506.27

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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.