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Finding the Fourth Proportional to 563.39, 777.24 and 342.30

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Solution

The fourth proportional to 563.39, 777.24 and 342.30 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.39 : 777.24 = 342.30 : x
  2. Step 2: Convert to fraction form
    563.39/777.24 = 342.30/x
  3. Step 3: Cross multiply
    563.39x = 777.24 × 342.30
  4. Step 4: Simplify right side
    563.39x = 266,049.25
  5. Step 5: Solve for x
    x = 266,049.25/563.39
  6. Step 6: Final answer
    x = 472.23

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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.