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Finding the Fourth Proportional to 397.98, 597.47 and 306.74

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Solution

The fourth proportional to 397.98, 597.47 and 306.74 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 597.47 = 306.74 : x
  2. Step 2: Convert to fraction form
    397.98/597.47 = 306.74/x
  3. Step 3: Cross multiply
    397.98x = 597.47 × 306.74
  4. Step 4: Simplify right side
    397.98x = 183,265.73
  5. Step 5: Solve for x
    x = 183,265.73/397.98
  6. Step 6: Final answer
    x = 460.49

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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.