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Finding the Fourth Proportional to 713.74, 984.74 and 398.96

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Solution

The fourth proportional to 713.74, 984.74 and 398.96 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.74 : 984.74 = 398.96 : x
  2. Step 2: Convert to fraction form
    713.74/984.74 = 398.96/x
  3. Step 3: Cross multiply
    713.74x = 984.74 × 398.96
  4. Step 4: Simplify right side
    713.74x = 392,875.33
  5. Step 5: Solve for x
    x = 392,875.33/713.74
  6. Step 6: Final answer
    x = 550.45

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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.