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Finding the Fourth Proportional to 517.86, 714.71 and 296.83

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Solution

The fourth proportional to 517.86, 714.71 and 296.83 is: 409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 714.71 = 296.83 : x
  2. Step 2: Convert to fraction form
    517.86/714.71 = 296.83/x
  3. Step 3: Cross multiply
    517.86x = 714.71 × 296.83
  4. Step 4: Simplify right side
    517.86x = 212,142.31
  5. Step 5: Solve for x
    x = 212,142.31/517.86
  6. Step 6: Final answer
    x = 409.66

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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.