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Finding the Fourth Proportional to 517.96, 714.56 and 296.86

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Solution

The fourth proportional to 517.96, 714.56 and 296.86 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 714.56 = 296.86 : x
  2. Step 2: Convert to fraction form
    517.96/714.56 = 296.86/x
  3. Step 3: Cross multiply
    517.96x = 714.56 × 296.86
  4. Step 4: Simplify right side
    517.96x = 212,124.28
  5. Step 5: Solve for x
    x = 212,124.28/517.96
  6. Step 6: Final answer
    x = 409.54

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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.