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Finding the Fourth Proportional to 560.07, 772.74 and 338.94

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Solution

The fourth proportional to 560.07, 772.74 and 338.94 is: 467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.07 : 772.74 = 338.94 : x
  2. Step 2: Convert to fraction form
    560.07/772.74 = 338.94/x
  3. Step 3: Cross multiply
    560.07x = 772.74 × 338.94
  4. Step 4: Simplify right side
    560.07x = 261,912.50
  5. Step 5: Solve for x
    x = 261,912.50/560.07
  6. Step 6: Final answer
    x = 467.64

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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.