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Finding the Fourth Proportional to 563.13, 777.14 and 342.11

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Solution

The fourth proportional to 563.13, 777.14 and 342.11 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 777.14 = 342.11 : x
  2. Step 2: Convert to fraction form
    563.13/777.14 = 342.11/x
  3. Step 3: Cross multiply
    563.13x = 777.14 × 342.11
  4. Step 4: Simplify right side
    563.13x = 265,861.77
  5. Step 5: Solve for x
    x = 265,861.77/563.13
  6. Step 6: Final answer
    x = 472.11

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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.