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Finding the Fourth Proportional to 560.01, 772.87 and 338.97

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Solution

The fourth proportional to 560.01, 772.87 and 338.97 is: 467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.01 : 772.87 = 338.97 : x
  2. Step 2: Convert to fraction form
    560.01/772.87 = 338.97/x
  3. Step 3: Cross multiply
    560.01x = 772.87 × 338.97
  4. Step 4: Simplify right side
    560.01x = 261,979.74
  5. Step 5: Solve for x
    x = 261,979.74/560.01
  6. Step 6: Final answer
    x = 467.81

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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.