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Finding the Fourth Proportional to 345.76, 517.98 and 276.94

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Solution

The fourth proportional to 345.76, 517.98 and 276.94 is: 414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 517.98 = 276.94 : x
  2. Step 2: Convert to fraction form
    345.76/517.98 = 276.94/x
  3. Step 3: Cross multiply
    345.76x = 517.98 × 276.94
  4. Step 4: Simplify right side
    345.76x = 143,449.38
  5. Step 5: Solve for x
    x = 143,449.38/345.76
  6. Step 6: Final answer
    x = 414.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.