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Finding the Fourth Proportional to 563.26, 777.23 and 342.13

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Solution

The fourth proportional to 563.26, 777.23 and 342.13 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 777.23 = 342.13 : x
  2. Step 2: Convert to fraction form
    563.26/777.23 = 342.13/x
  3. Step 3: Cross multiply
    563.26x = 777.23 × 342.13
  4. Step 4: Simplify right side
    563.26x = 265,909.81
  5. Step 5: Solve for x
    x = 265,909.81/563.26
  6. Step 6: Final answer
    x = 472.09

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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.