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Finding the Fourth Proportional to 517.94, 714.78 and 296.94

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Solution

The fourth proportional to 517.94, 714.78 and 296.94 is: 409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 714.78 = 296.94 : x
  2. Step 2: Convert to fraction form
    517.94/714.78 = 296.94/x
  3. Step 3: Cross multiply
    517.94x = 714.78 × 296.94
  4. Step 4: Simplify right side
    517.94x = 212,246.77
  5. Step 5: Solve for x
    x = 212,246.77/517.94
  6. Step 6: Final answer
    x = 409.79

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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.