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Finding the Fourth Proportional to 517.82, 714.41 and 296.61

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Solution

The fourth proportional to 517.82, 714.41 and 296.61 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 714.41 = 296.61 : x
  2. Step 2: Convert to fraction form
    517.82/714.41 = 296.61/x
  3. Step 3: Cross multiply
    517.82x = 714.41 × 296.61
  4. Step 4: Simplify right side
    517.82x = 211,899.67
  5. Step 5: Solve for x
    x = 211,899.67/517.82
  6. Step 6: Final answer
    x = 409.22

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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.