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Finding the Fourth Proportional to 713.53, 984.57 and 398.77

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Solution

The fourth proportional to 713.53, 984.57 and 398.77 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 984.57 = 398.77 : x
  2. Step 2: Convert to fraction form
    713.53/984.57 = 398.77/x
  3. Step 3: Cross multiply
    713.53x = 984.57 × 398.77
  4. Step 4: Simplify right side
    713.53x = 392,616.98
  5. Step 5: Solve for x
    x = 392,616.98/713.53
  6. Step 6: Final answer
    x = 550.25

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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.