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Finding the Fourth Proportional to 713.41, 984.37 and 492.28

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Solution

The fourth proportional to 713.41, 984.37 and 492.28 is: 679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.41 : 984.37 = 492.28 : x
  2. Step 2: Convert to fraction form
    713.41/984.37 = 492.28/x
  3. Step 3: Cross multiply
    713.41x = 984.37 × 492.28
  4. Step 4: Simplify right side
    713.41x = 484,585.66
  5. Step 5: Solve for x
    x = 484,585.66/713.41
  6. Step 6: Final answer
    x = 679.25

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Double scale
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1.5x scale

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.