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Finding the Fourth Proportional to 563.96, 777.84 and 406.82

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Solution

The fourth proportional to 563.96, 777.84 and 406.82 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 777.84 = 406.82 : x
  2. Step 2: Convert to fraction form
    563.96/777.84 = 406.82/x
  3. Step 3: Cross multiply
    563.96x = 777.84 × 406.82
  4. Step 4: Simplify right side
    563.96x = 316,440.87
  5. Step 5: Solve for x
    x = 316,440.87/563.96
  6. Step 6: Final answer
    x = 561.11

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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.