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Finding the Fourth Proportional to 563.56, 777.74 and 342.29

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Solution

The fourth proportional to 563.56, 777.74 and 342.29 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 777.74 = 342.29 : x
  2. Step 2: Convert to fraction form
    563.56/777.74 = 342.29/x
  3. Step 3: Cross multiply
    563.56x = 777.74 × 342.29
  4. Step 4: Simplify right side
    563.56x = 266,212.86
  5. Step 5: Solve for x
    x = 266,212.86/563.56
  6. Step 6: Final answer
    x = 472.38

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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.