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Finding the Fourth Proportional to 517.40, 713.80 and 296.30

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Solution

The fourth proportional to 517.40, 713.80 and 296.30 is: 408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 713.80 = 296.30 : x
  2. Step 2: Convert to fraction form
    517.40/713.80 = 296.30/x
  3. Step 3: Cross multiply
    517.40x = 713.80 × 296.30
  4. Step 4: Simplify right side
    517.40x = 211,494.63
  5. Step 5: Solve for x
    x = 211,494.63/517.40
  6. Step 6: Final answer
    x = 408.77

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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.