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Finding the Fourth Proportional to 517.96, 779.74 and 472.60

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Solution

The fourth proportional to 517.96, 779.74 and 472.60 is: 711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 779.74 = 472.60 : x
  2. Step 2: Convert to fraction form
    517.96/779.74 = 472.60/x
  3. Step 3: Cross multiply
    517.96x = 779.74 × 472.60
  4. Step 4: Simplify right side
    517.96x = 368,505.12
  5. Step 5: Solve for x
    x = 368,505.12/517.96
  6. Step 6: Final answer
    x = 711.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.