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Finding the Fourth Proportional to 517.83, 714.62 and 296.83

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Solution

The fourth proportional to 517.83, 714.62 and 296.83 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.83 : 714.62 = 296.83 : x
  2. Step 2: Convert to fraction form
    517.83/714.62 = 296.83/x
  3. Step 3: Cross multiply
    517.83x = 714.62 × 296.83
  4. Step 4: Simplify right side
    517.83x = 212,120.65
  5. Step 5: Solve for x
    x = 212,120.65/517.83
  6. Step 6: Final answer
    x = 409.63

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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.