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Finding the Fourth Proportional to 447.66, 670.14 and 398.25

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Solution

The fourth proportional to 447.66, 670.14 and 398.25 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 670.14 = 398.25 : x
  2. Step 2: Convert to fraction form
    447.66/670.14 = 398.25/x
  3. Step 3: Cross multiply
    447.66x = 670.14 × 398.25
  4. Step 4: Simplify right side
    447.66x = 266,883.26
  5. Step 5: Solve for x
    x = 266,883.26/447.66
  6. Step 6: Final answer
    x = 596.17

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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.