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Finding the Fourth Proportional to 397.88, 594.02 and 340.12

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Solution

The fourth proportional to 397.88, 594.02 and 340.12 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 594.02 = 340.12 : x
  2. Step 2: Convert to fraction form
    397.88/594.02 = 340.12/x
  3. Step 3: Cross multiply
    397.88x = 594.02 × 340.12
  4. Step 4: Simplify right side
    397.88x = 202,034.90
  5. Step 5: Solve for x
    x = 202,034.90/397.88
  6. Step 6: Final answer
    x = 507.78

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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.