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Finding the Fourth Proportional to 563.70, 777.96 and 342.67

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Solution

The fourth proportional to 563.70, 777.96 and 342.67 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 777.96 = 342.67 : x
  2. Step 2: Convert to fraction form
    563.70/777.96 = 342.67/x
  3. Step 3: Cross multiply
    563.70x = 777.96 × 342.67
  4. Step 4: Simplify right side
    563.70x = 266,579.66
  5. Step 5: Solve for x
    x = 266,579.66/563.70
  6. Step 6: Final answer
    x = 472.91

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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.