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Finding the Fourth Proportional to 563.44, 777.56 and 342.34

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Solution

The fourth proportional to 563.44, 777.56 and 342.34 is: 472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.44 : 777.56 = 342.34 : x
  2. Step 2: Convert to fraction form
    563.44/777.56 = 342.34/x
  3. Step 3: Cross multiply
    563.44x = 777.56 × 342.34
  4. Step 4: Simplify right side
    563.44x = 266,189.89
  5. Step 5: Solve for x
    x = 266,189.89/563.44
  6. Step 6: Final answer
    x = 472.44

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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.