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Finding the Fourth Proportional to 563.33, 777.07 and 339.11

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Solution

The fourth proportional to 563.33, 777.07 and 339.11 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.33 : 777.07 = 339.11 : x
  2. Step 2: Convert to fraction form
    563.33/777.07 = 339.11/x
  3. Step 3: Cross multiply
    563.33x = 777.07 × 339.11
  4. Step 4: Simplify right side
    563.33x = 263,512.21
  5. Step 5: Solve for x
    x = 263,512.21/563.33
  6. Step 6: Final answer
    x = 467.78

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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.