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Finding the Fourth Proportional to 517.66, 714.41 and 296.68

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Solution

The fourth proportional to 517.66, 714.41 and 296.68 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 714.41 = 296.68 : x
  2. Step 2: Convert to fraction form
    517.66/714.41 = 296.68/x
  3. Step 3: Cross multiply
    517.66x = 714.41 × 296.68
  4. Step 4: Simplify right side
    517.66x = 211,951.16
  5. Step 5: Solve for x
    x = 211,951.16/517.66
  6. Step 6: Final answer
    x = 409.44

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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.