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Finding the Fourth Proportional to 563.56, 777.48 and 342.46

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Solution

The fourth proportional to 563.56, 777.48 and 342.46 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 777.48 = 342.46 : x
  2. Step 2: Convert to fraction form
    563.56/777.48 = 342.46/x
  3. Step 3: Cross multiply
    563.56x = 777.48 × 342.46
  4. Step 4: Simplify right side
    563.56x = 266,255.80
  5. Step 5: Solve for x
    x = 266,255.80/563.56
  6. Step 6: Final answer
    x = 472.45

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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.