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Finding the Fourth Proportional to 563.19, 777.09 and 341.99

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Solution

The fourth proportional to 563.19, 777.09 and 341.99 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.19 : 777.09 = 341.99 : x
  2. Step 2: Convert to fraction form
    563.19/777.09 = 341.99/x
  3. Step 3: Cross multiply
    563.19x = 777.09 × 341.99
  4. Step 4: Simplify right side
    563.19x = 265,757.32
  5. Step 5: Solve for x
    x = 265,757.32/563.19
  6. Step 6: Final answer
    x = 471.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.