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Finding the Fourth Proportional to 517.58, 713.87 and 338.01

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Solution

The fourth proportional to 517.58, 713.87 and 338.01 is: 466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 713.87 = 338.01 : x
  2. Step 2: Convert to fraction form
    517.58/713.87 = 338.01/x
  3. Step 3: Cross multiply
    517.58x = 713.87 × 338.01
  4. Step 4: Simplify right side
    517.58x = 241,293.51
  5. Step 5: Solve for x
    x = 241,293.51/517.58
  6. Step 6: Final answer
    x = 466.20

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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.