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Finding the Fourth Proportional to 476.39, 656.89 and 448.14

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Solution

The fourth proportional to 476.39, 656.89 and 448.14 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 656.89 = 448.14 : x
  2. Step 2: Convert to fraction form
    476.39/656.89 = 448.14/x
  3. Step 3: Cross multiply
    476.39x = 656.89 × 448.14
  4. Step 4: Simplify right side
    476.39x = 294,380.03
  5. Step 5: Solve for x
    x = 294,380.03/476.39
  6. Step 6: Final answer
    x = 617.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.