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Finding the Fourth Proportional to 517.67, 714.37 and 296.67

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Solution

The fourth proportional to 517.67, 714.37 and 296.67 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.67 : 714.37 = 296.67 : x
  2. Step 2: Convert to fraction form
    517.67/714.37 = 296.67/x
  3. Step 3: Cross multiply
    517.67x = 714.37 × 296.67
  4. Step 4: Simplify right side
    517.67x = 211,930.66
  5. Step 5: Solve for x
    x = 211,930.66/517.67
  6. Step 6: Final answer
    x = 409.40

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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.