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Finding the Fourth Proportional to 563.85, 777.67 and 342.57

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Solution

The fourth proportional to 563.85, 777.67 and 342.57 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 777.67 = 342.57 : x
  2. Step 2: Convert to fraction form
    563.85/777.67 = 342.57/x
  3. Step 3: Cross multiply
    563.85x = 777.67 × 342.57
  4. Step 4: Simplify right side
    563.85x = 266,406.41
  5. Step 5: Solve for x
    x = 266,406.41/563.85
  6. Step 6: Final answer
    x = 472.48

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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.