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Finding the Fourth Proportional to 398.76, 594.90 and 344.76

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Solution

The fourth proportional to 398.76, 594.90 and 344.76 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.76 : 594.90 = 344.76 : x
  2. Step 2: Convert to fraction form
    398.76/594.90 = 344.76/x
  3. Step 3: Cross multiply
    398.76x = 594.90 × 344.76
  4. Step 4: Simplify right side
    398.76x = 205,097.72
  5. Step 5: Solve for x
    x = 205,097.72/398.76
  6. Step 6: Final answer
    x = 514.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.