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Finding the Fourth Proportional to 563.67, 777.66 and 339.54

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Solution

The fourth proportional to 563.67, 777.66 and 339.54 is: 468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.67 : 777.66 = 339.54 : x
  2. Step 2: Convert to fraction form
    563.67/777.66 = 339.54/x
  3. Step 3: Cross multiply
    563.67x = 777.66 × 339.54
  4. Step 4: Simplify right side
    563.67x = 264,046.68
  5. Step 5: Solve for x
    x = 264,046.68/563.67
  6. Step 6: Final answer
    x = 468.44

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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.