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Finding the Fourth Proportional to 713.66, 984.83 and 414.92

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Solution

The fourth proportional to 713.66, 984.83 and 414.92 is: 572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 984.83 = 414.92 : x
  2. Step 2: Convert to fraction form
    713.66/984.83 = 414.92/x
  3. Step 3: Cross multiply
    713.66x = 984.83 × 414.92
  4. Step 4: Simplify right side
    713.66x = 408,621.78
  5. Step 5: Solve for x
    x = 408,621.78/713.66
  6. Step 6: Final answer
    x = 572.58

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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.