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Finding the Fourth Proportional to 713.87, 985.12 and 419.16

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Solution

The fourth proportional to 713.87, 985.12 and 419.16 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.87 : 985.12 = 419.16 : x
  2. Step 2: Convert to fraction form
    713.87/985.12 = 419.16/x
  3. Step 3: Cross multiply
    713.87x = 985.12 × 419.16
  4. Step 4: Simplify right side
    713.87x = 412,921.85
  5. Step 5: Solve for x
    x = 412,921.85/713.87
  6. Step 6: Final answer
    x = 578.43

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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.