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Finding the Fourth Proportional to 412.97, 615.74 and 398.66

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Solution

The fourth proportional to 412.97, 615.74 and 398.66 is: 594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 615.74 = 398.66 : x
  2. Step 2: Convert to fraction form
    412.97/615.74 = 398.66/x
  3. Step 3: Cross multiply
    412.97x = 615.74 × 398.66
  4. Step 4: Simplify right side
    412.97x = 245,465.84
  5. Step 5: Solve for x
    x = 245,465.84/412.97
  6. Step 6: Final answer
    x = 594.40

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