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Finding the Fourth Proportional to 563.41, 777.58 and 342.43

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Solution

The fourth proportional to 563.41, 777.58 and 342.43 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 777.58 = 342.43 : x
  2. Step 2: Convert to fraction form
    563.41/777.58 = 342.43/x
  3. Step 3: Cross multiply
    563.41x = 777.58 × 342.43
  4. Step 4: Simplify right side
    563.41x = 266,265.85
  5. Step 5: Solve for x
    x = 266,265.85/563.41
  6. Step 6: Final answer
    x = 472.60

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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.