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Finding the Fourth Proportional to 713.82, 985.08 and 419.09

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Solution

The fourth proportional to 713.82, 985.08 and 419.09 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.82 : 985.08 = 419.09 : x
  2. Step 2: Convert to fraction form
    713.82/985.08 = 419.09/x
  3. Step 3: Cross multiply
    713.82x = 985.08 × 419.09
  4. Step 4: Simplify right side
    713.82x = 412,839.64
  5. Step 5: Solve for x
    x = 412,839.64/713.82
  6. Step 6: Final answer
    x = 578.35

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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.