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Finding the Fourth Proportional to 517.31, 713.96 and 407.60

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Solution

The fourth proportional to 517.31, 713.96 and 407.60 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 713.96 = 407.60 : x
  2. Step 2: Convert to fraction form
    517.31/713.96 = 407.60/x
  3. Step 3: Cross multiply
    517.31x = 713.96 × 407.60
  4. Step 4: Simplify right side
    517.31x = 291,009.84
  5. Step 5: Solve for x
    x = 291,009.84/517.31
  6. Step 6: Final answer
    x = 562.55

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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.